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5(2x-3)=7(x+1)
We move all terms to the left:
5(2x-3)-(7(x+1))=0
We multiply parentheses
10x-(7(x+1))-15=0
We calculate terms in parentheses: -(7(x+1)), so:We get rid of parentheses
7(x+1)
We multiply parentheses
7x+7
Back to the equation:
-(7x+7)
10x-7x-7-15=0
We add all the numbers together, and all the variables
3x-22=0
We move all terms containing x to the left, all other terms to the right
3x=22
x=22/3
x=7+1/3
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