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(2x+3/2)+4=5x+2
We move all terms to the left:
(2x+3/2)+4-(5x+2)=0
We add all the numbers together, and all the variables
(+2x+3/2)-(5x+2)+4=0
We get rid of parentheses
2x-5x-2+4+3/2=0
We multiply all the terms by the denominator
2x*2-5x*2+3-2*2+4*2=0
We add all the numbers together, and all the variables
2x*2-5x*2+7=0
Wy multiply elements
4x-10x+7=0
We add all the numbers together, and all the variables
-6x+7=0
We move all terms containing x to the left, all other terms to the right
-6x=-7
x=-7/-6
x=1+1/6
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