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