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5x+15=2x+14+7
We move all terms to the left:
5x+15-(2x+14+7)=0
We add all the numbers together, and all the variables
5x-(2x+21)+15=0
We get rid of parentheses
5x-2x-21+15=0
We add all the numbers together, and all the variables
3x-6=0
We move all terms containing x to the left, all other terms to the right
3x=6
x=6/3
x=2
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