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6x+3=15-2x
We move all terms to the left:
6x+3-(15-2x)=0
We add all the numbers together, and all the variables
6x-(-2x+15)+3=0
We get rid of parentheses
6x+2x-15+3=0
We add all the numbers together, and all the variables
8x-12=0
We move all terms containing x to the left, all other terms to the right
8x=12
x=12/8
x=1+1/2
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