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(5x+3)/2=x+6
We move all terms to the left:
(5x+3)/2-(x+6)=0
We get rid of parentheses
(5x+3)/2-x-6=0
We multiply all the terms by the denominator
(5x+3)-x*2-6*2=0
We add all the numbers together, and all the variables
(5x+3)-x*2-12=0
Wy multiply elements
(5x+3)-2x-12=0
We get rid of parentheses
5x-2x+3-12=0
We add all the numbers together, and all the variables
3x-9=0
We move all terms containing x to the left, all other terms to the right
3x=9
x=9/3
x=3
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