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5(x-2)+3(x+4)=3(2x-8)-10
We move all terms to the left:
5(x-2)+3(x+4)-(3(2x-8)-10)=0
We multiply parentheses
5x+3x-(3(2x-8)-10)-10+12=0
We calculate terms in parentheses: -(3(2x-8)-10), so:We add all the numbers together, and all the variables
3(2x-8)-10
We multiply parentheses
6x-24-10
We add all the numbers together, and all the variables
6x-34
Back to the equation:
-(6x-34)
8x-(6x-34)+2=0
We get rid of parentheses
8x-6x+34+2=0
We add all the numbers together, and all the variables
2x+36=0
We move all terms containing x to the left, all other terms to the right
2x=-36
x=-36/2
x=-18
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