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5x+3=2x-3x-15=
We move all terms to the left:
5x+3-(2x-3x-15)=0
We add all the numbers together, and all the variables
5x-(-1x-15)+3=0
We get rid of parentheses
5x+1x+15+3=0
We add all the numbers together, and all the variables
6x+18=0
We move all terms containing x to the left, all other terms to the right
6x=-18
x=-18/6
x=-3
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