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5(3x-2)=2(4x+9)
We move all terms to the left:
5(3x-2)-(2(4x+9))=0
We multiply parentheses
15x-(2(4x+9))-10=0
We calculate terms in parentheses: -(2(4x+9)), so:We get rid of parentheses
2(4x+9)
We multiply parentheses
8x+18
Back to the equation:
-(8x+18)
15x-8x-18-10=0
We add all the numbers together, and all the variables
7x-28=0
We move all terms containing x to the left, all other terms to the right
7x=28
x=28/7
x=4
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