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7x-8=5x-22
We move all terms to the left:
7x-8-(5x-22)=0
We get rid of parentheses
7x-5x+22-8=0
We add all the numbers together, and all the variables
2x+14=0
We move all terms containing x to the left, all other terms to the right
2x=-14
x=-14/2
x=-7
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