5(x-8)+x=3(x-6)+2

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Solution for 5(x-8)+x=3(x-6)+2 equation:



5(x-8)+x=3(x-6)+2
We move all terms to the left:
5(x-8)+x-(3(x-6)+2)=0
We add all the numbers together, and all the variables
x+5(x-8)-(3(x-6)+2)=0
We multiply parentheses
x+5x-(3(x-6)+2)-40=0
We calculate terms in parentheses: -(3(x-6)+2), so:
3(x-6)+2
We multiply parentheses
3x-18+2
We add all the numbers together, and all the variables
3x-16
Back to the equation:
-(3x-16)
We add all the numbers together, and all the variables
6x-(3x-16)-40=0
We get rid of parentheses
6x-3x+16-40=0
We add all the numbers together, and all the variables
3x-24=0
We move all terms containing x to the left, all other terms to the right
3x=24
x=24/3
x=8

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