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5(2x-9)-2=5(x-4)-17
We move all terms to the left:
5(2x-9)-2-(5(x-4)-17)=0
We multiply parentheses
10x-(5(x-4)-17)-45-2=0
We calculate terms in parentheses: -(5(x-4)-17), so:We add all the numbers together, and all the variables
5(x-4)-17
We multiply parentheses
5x-20-17
We add all the numbers together, and all the variables
5x-37
Back to the equation:
-(5x-37)
10x-(5x-37)-47=0
We get rid of parentheses
10x-5x+37-47=0
We add all the numbers together, and all the variables
5x-10=0
We move all terms containing x to the left, all other terms to the right
5x=10
x=10/5
x=2
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