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5-3+2x=10+3x

We move all terms to the left:

5-3+2x-(10+3x)=0

We add all the numbers together, and all the variables

2x-(3x+10)+5-3=0

We add all the numbers together, and all the variables

2x-(3x+10)+2=0

We get rid of parentheses

2x-3x-10+2=0

We add all the numbers together, and all the variables

-1x-8=0

We move all terms containing x to the left, all other terms to the right

-x=8

x=8/-1

x=-8

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