8x-2(4-3x)=5(x-4)-42

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Solution for 8x-2(4-3x)=5(x-4)-42 equation:



8x-2(4-3x)=5(x-4)-42
We move all terms to the left:
8x-2(4-3x)-(5(x-4)-42)=0
We add all the numbers together, and all the variables
8x-2(-3x+4)-(5(x-4)-42)=0
We multiply parentheses
8x+6x-(5(x-4)-42)-8=0
We calculate terms in parentheses: -(5(x-4)-42), so:
5(x-4)-42
We multiply parentheses
5x-20-42
We add all the numbers together, and all the variables
5x-62
Back to the equation:
-(5x-62)
We add all the numbers together, and all the variables
14x-(5x-62)-8=0
We get rid of parentheses
14x-5x+62-8=0
We add all the numbers together, and all the variables
9x+54=0
We move all terms containing x to the left, all other terms to the right
9x=-54
x=-54/9
x=-6

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