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2x-2=7x-9/2
We move all terms to the left:
2x-2-(7x-9/2)=0
We add all the numbers together, and all the variables
2x-(+7x-9/2)-2=0
We get rid of parentheses
2x-7x-2+9/2=0
We multiply all the terms by the denominator
2x*2-7x*2+9-2*2=0
We add all the numbers together, and all the variables
2x*2-7x*2+5=0
Wy multiply elements
4x-14x+5=0
We add all the numbers together, and all the variables
-10x+5=0
We move all terms containing x to the left, all other terms to the right
-10x=-5
x=-5/-10
x=1/2
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