3x-1/2=5/2+x

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Solution for 3x-1/2=5/2+x equation:



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

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