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7x-2(4-3x)=5(x-3)-41
We move all terms to the left:
7x-2(4-3x)-(5(x-3)-41)=0
We add all the numbers together, and all the variables
7x-2(-3x+4)-(5(x-3)-41)=0
We multiply parentheses
7x+6x-(5(x-3)-41)-8=0
We calculate terms in parentheses: -(5(x-3)-41), so:We add all the numbers together, and all the variables
5(x-3)-41
We multiply parentheses
5x-15-41
We add all the numbers together, and all the variables
5x-56
Back to the equation:
-(5x-56)
13x-(5x-56)-8=0
We get rid of parentheses
13x-5x+56-8=0
We add all the numbers together, and all the variables
8x+48=0
We move all terms containing x to the left, all other terms to the right
8x=-48
x=-48/8
x=-6
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