6(x+7)=5(4-x)

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Solution for 6(x+7)=5(4-x) equation:



6(x+7)=5(4-x)
We move all terms to the left:
6(x+7)-(5(4-x))=0
We add all the numbers together, and all the variables
6(x+7)-(5(-1x+4))=0
We multiply parentheses
6x-(5(-1x+4))+42=0
We calculate terms in parentheses: -(5(-1x+4)), so:
5(-1x+4)
We multiply parentheses
-5x+20
Back to the equation:
-(-5x+20)
We get rid of parentheses
6x+5x-20+42=0
We add all the numbers together, and all the variables
11x+22=0
We move all terms containing x to the left, all other terms to the right
11x=-22
x=-22/11
x=-2

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