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5x+24=3x-6
We move all terms to the left:
5x+24-(3x-6)=0
We get rid of parentheses
5x-3x+6+24=0
We add all the numbers together, and all the variables
2x+30=0
We move all terms containing x to the left, all other terms to the right
2x=-30
x=-30/2
x=-15
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