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