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2(x+3)=5(x-1)-7(x-7)
We move all terms to the left:
2(x+3)-(5(x-1)-7(x-7))=0
We multiply parentheses
2x-(5(x-1)-7(x-7))+6=0
We calculate terms in parentheses: -(5(x-1)-7(x-7)), so:We get rid of parentheses
5(x-1)-7(x-7)
We multiply parentheses
5x-7x-5+49
We add all the numbers together, and all the variables
-2x+44
Back to the equation:
-(-2x+44)
2x+2x-44+6=0
We add all the numbers together, and all the variables
4x-38=0
We move all terms containing x to the left, all other terms to the right
4x=38
x=38/4
x=9+1/2
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