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2x+13=-3x+5
We move all terms to the left:
2x+13-(-3x+5)=0
We get rid of parentheses
2x+3x-5+13=0
We add all the numbers together, and all the variables
5x+8=0
We move all terms containing x to the left, all other terms to the right
5x=-8
x=-8/5
x=-1+3/5
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