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5x+15=3x-4
We move all terms to the left:
5x+15-(3x-4)=0
We get rid of parentheses
5x-3x+4+15=0
We add all the numbers together, and all the variables
2x+19=0
We move all terms containing x to the left, all other terms to the right
2x=-19
x=-19/2
x=-9+1/2
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