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4x+2=-3x+8
We move all terms to the left:
4x+2-(-3x+8)=0
We get rid of parentheses
4x+3x-8+2=0
We add all the numbers together, and all the variables
7x-6=0
We move all terms containing x to the left, all other terms to the right
7x=6
x=6/7
x=6/7
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