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5x+2=-10x-3
We move all terms to the left:
5x+2-(-10x-3)=0
We get rid of parentheses
5x+10x+3+2=0
We add all the numbers together, and all the variables
15x+5=0
We move all terms containing x to the left, all other terms to the right
15x=-5
x=-5/15
x=-1/3
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