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2x+3x=2x-24-5x
We move all terms to the left:
2x+3x-(2x-24-5x)=0
We add all the numbers together, and all the variables
2x+3x-(-3x-24)=0
We add all the numbers together, and all the variables
5x-(-3x-24)=0
We get rid of parentheses
5x+3x+24=0
We add all the numbers together, and all the variables
8x+24=0
We move all terms containing x to the left, all other terms to the right
8x=-24
x=-24/8
x=-3
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