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(x-2)+x/2=19
We move all terms to the left:
(x-2)+x/2-(19)=0
We get rid of parentheses
x+x/2-2-19=0
We multiply all the terms by the denominator
x*2+x-2*2-19*2=0
We add all the numbers together, and all the variables
x+x*2-42=0
Wy multiply elements
x+2x-42=0
We add all the numbers together, and all the variables
3x-42=0
We move all terms containing x to the left, all other terms to the right
3x=42
x=42/3
x=14
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