(x+31)(x-2)=(x+7)(x+10)

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Solution for (x+31)(x-2)=(x+7)(x+10) equation:



(x+31)(x-2)=(x+7)(x+10)
We move all terms to the left:
(x+31)(x-2)-((x+7)(x+10))=0
We multiply parentheses ..
(+x^2-2x+31x-62)-((x+7)(x+10))=0
We calculate terms in parentheses: -((x+7)(x+10)), so:
(x+7)(x+10)
We multiply parentheses ..
(+x^2+10x+7x+70)
We get rid of parentheses
x^2+10x+7x+70
We add all the numbers together, and all the variables
x^2+17x+70
Back to the equation:
-(x^2+17x+70)
We get rid of parentheses
x^2-x^2-2x+31x-17x-62-70=0
We add all the numbers together, and all the variables
12x-132=0
We move all terms containing x to the left, all other terms to the right
12x=132
x=132/12
x=11

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