5x+7=A(x-1)+B(x+3)

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Solution for 5x+7=A(x-1)+B(x+3) equation:



5x+7=(x-1)+(x+3)
We move all terms to the left:
5x+7-((x-1)+(x+3))=0
We calculate terms in parentheses: -((x-1)+(x+3)), so:
(x-1)+(x+3)
We get rid of parentheses
x+x-1+3
We add all the numbers together, and all the variables
2x+2
Back to the equation:
-(2x+2)
We get rid of parentheses
5x-2x-2+7=0
We add all the numbers together, and all the variables
3x+5=0
We move all terms containing x to the left, all other terms to the right
3x=-5
x=-5/3
x=-1+2/3

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