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5(x-2)-3=3x-8x-7

We move all terms to the left:

5(x-2)-3-(3x-8x-7)=0

We add all the numbers together, and all the variables

5(x-2)-(-5x-7)-3=0

We multiply parentheses

5x-(-5x-7)-10-3=0

We get rid of parentheses

5x+5x+7-10-3=0

We add all the numbers together, and all the variables

10x-6=0

We move all terms containing x to the left, all other terms to the right

10x=6

x=6/10

x=3/5

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