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