5x-3(2-3x)=5(x-5)-17

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Solution for 5x-3(2-3x)=5(x-5)-17 equation:



5x-3(2-3x)=5(x-5)-17
We move all terms to the left:
5x-3(2-3x)-(5(x-5)-17)=0
We add all the numbers together, and all the variables
5x-3(-3x+2)-(5(x-5)-17)=0
We multiply parentheses
5x+9x-(5(x-5)-17)-6=0
We calculate terms in parentheses: -(5(x-5)-17), so:
5(x-5)-17
We multiply parentheses
5x-25-17
We add all the numbers together, and all the variables
5x-42
Back to the equation:
-(5x-42)
We add all the numbers together, and all the variables
14x-(5x-42)-6=0
We get rid of parentheses
14x-5x+42-6=0
We add all the numbers together, and all the variables
9x+36=0
We move all terms containing x to the left, all other terms to the right
9x=-36
x=-36/9
x=-4

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