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7(x-4)=5x+8
We move all terms to the left:
7(x-4)-(5x+8)=0
We multiply parentheses
7x-(5x+8)-28=0
We get rid of parentheses
7x-5x-8-28=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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