7x-2(4-3x)=5(x-5)-7

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Solution for 7x-2(4-3x)=5(x-5)-7 equation:



7x-2(4-3x)=5(x-5)-7
We move all terms to the left:
7x-2(4-3x)-(5(x-5)-7)=0
We add all the numbers together, and all the variables
7x-2(-3x+4)-(5(x-5)-7)=0
We multiply parentheses
7x+6x-(5(x-5)-7)-8=0
We calculate terms in parentheses: -(5(x-5)-7), so:
5(x-5)-7
We multiply parentheses
5x-25-7
We add all the numbers together, and all the variables
5x-32
Back to the equation:
-(5x-32)
We add all the numbers together, and all the variables
13x-(5x-32)-8=0
We get rid of parentheses
13x-5x+32-8=0
We add all the numbers together, and all the variables
8x+24=0
We move all terms containing x to the left, all other terms to the right
8x=-24
x=-24/8
x=-3

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