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2(x-7)=5x-2
We move all terms to the left:
2(x-7)-(5x-2)=0
We multiply parentheses
2x-(5x-2)-14=0
We get rid of parentheses
2x-5x+2-14=0
We add all the numbers together, and all the variables
-3x-12=0
We move all terms containing x to the left, all other terms to the right
-3x=12
x=12/-3
x=-4
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