How does Libra fall into play?
This is a summary of all the signs. This is all taken alone and very generic. Anyone with any addition, correction or any other input should feel free to add.
Aries - Where one can have selfish tendencies, rush things, be confident, self-starting, there can be a sense of competition in the affairs of that house.
Taurus - where one has a slower practical approach, needs structure and stability (can apply for capricorn too), needs security, comfort, money and material possessions can be connected to the affairs of this house, affairs of the house may not be prone to change (Taurus is an earth and fixed sign, one of the most stable signs).
Gemini - where one lacks stability, one can enjoy thinking or communicating about the affairs of this house, things can be experienced in multiples (e.g. dual citizenship for Gemini on the 4th house, multiple lovers for Gemini on the 5th and so on), where frequent changes happen (Gemini is a Mutable and air sign, lacks consistency), neighbors or relatives can also be involved with the affairs of this house (I know a person who was raised by her aunt and uncle, Gemini on the 4th house in addition to other factors showing growing up without the parents).
Cancer - home and family can be connected to the affairs of this house, Cancer can show where one needs emotional security, emotions can be connected to the affairs of this house (e.g. emotional attachment to one's work with Cancer on the 6th house, decisions based on emotions with cancer on the 3rd house etc.)
Leo - Where one takes pride, there can be a sense of leadership regarding the affairs of the house (this can also apply for Aries and sometimes capricorn as it rules management), where one can be bold, can also hint at creativity.
Virgo - where one is critical, a perfectionist, good at details, matters to do with health and hygiene can be related with the affairs of this house (say needing a clean environment and a clean and freshly smelling partner during sex with virgo on the 8th house), work and service can also be connected to the affairs of this house.
Libra - being the opposite sign of Aries, where one needs harmony, co-operation with others, where one tends to be diplomatic, where one puts their needs aside and considers things outside their own self, the love life of one's needs in love can also be connected to the affairs of this house. Libra also rules justice so this can be where one has a strong sense of justice and sometimes this can be literally stuff to do with law. I've seen Libra on the 10th house in the charts of those whose fathers were lawyers, for instance.
Scorpio - where one feels deeply, where there are lasting impressions on the psyche, where there can be obsessions, where one can need a sense of power, where there can be a sense of power or control coming to the person (for instance, scorpio on the 11th house can give controlling friends), where transformation can occur in the life, where there are deep ties (with people ruled by the house in question), where there can be regeneration, the sex life can be connected to the affairs of this house, where there can be hidden things.
Sagittarius - where one needs freedom, where one can be lucky, there can be expansion in a literal sense (Sagittarius rising people can be large in some way for instance, as the 1st house rules the physical body; Sagittarius on the 4th house can among many things indicate a large family either in the childhood or the family one builds in their life), where things go easy, where one is impractical and overconfident, where one needs adventure, the affairs of Sagittarius like travel, international affairs, long distance affairs, education can also be connected to this house (working abroad with Sagittarius on the 6th, traveling to study abroad with Sagittarius on the 9th and so on). One's religious beliefs and personal morals can also be connected to the affairs of the house in question.
Capricorn - where one is disciplined or is needed to be disciplined by circumstances outside their control, where there are limitations, obstacles or restrictions; old age or older people can be connected to this house (like a grandparent in one's childhood with Capricorn on the 4th), where one needs a sense of security and structure, where one is practical and cautious, where one has endurance. Sometimes, the house with capricorn can be where one experiences bad luck or misfortune but you have to look at the whole chart.
Aquarius - Where one needs freedom, where one can be rebellious, unconventional, where there is originality, where there can be unexpected changes, things can be unusual in the affairs of this house, friends or friendship can be connected to this house (also groups/organizations) , where there can be teamwork.
Pisces - Where one is gullible or impressionable, where one is idealistic, fantasies and the imagination can be connected to this house, where there is a sense of weakness, where there is little stability, where we can experience victimization or suffering (this can even manifest differently from plain suffering, like sexual masochism with Pisces on the 8th house).
Note that when a house rules people, they can have traits of the sign on the cusp or the sign the ruler of the house is in. Or the affairs ruled by this sign can be prominent in the life of the person ruled by the house in question.
This is all very general. The signs rule many things and one thing may not apply for all people with the same placements, just like the planets.