3x-4(4-3x)=5(x-5)-51

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Solution for 3x-4(4-3x)=5(x-5)-51 equation:



3x-4(4-3x)=5(x-5)-51
We move all terms to the left:
3x-4(4-3x)-(5(x-5)-51)=0
We add all the numbers together, and all the variables
3x-4(-3x+4)-(5(x-5)-51)=0
We multiply parentheses
3x+12x-(5(x-5)-51)-16=0
We calculate terms in parentheses: -(5(x-5)-51), so:
5(x-5)-51
We multiply parentheses
5x-25-51
We add all the numbers together, and all the variables
5x-76
Back to the equation:
-(5x-76)
We add all the numbers together, and all the variables
15x-(5x-76)-16=0
We get rid of parentheses
15x-5x+76-16=0
We add all the numbers together, and all the variables
10x+60=0
We move all terms containing x to the left, all other terms to the right
10x=-60
x=-60/10
x=-6

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