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3(x+8)=2(5x-3)
We move all terms to the left:
3(x+8)-(2(5x-3))=0
We multiply parentheses
3x-(2(5x-3))+24=0
We calculate terms in parentheses: -(2(5x-3)), so:We get rid of parentheses
2(5x-3)
We multiply parentheses
10x-6
Back to the equation:
-(10x-6)
3x-10x+6+24=0
We add all the numbers together, and all the variables
-7x+30=0
We move all terms containing x to the left, all other terms to the right
-7x=-30
x=-30/-7
x=4+2/7
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