3x-5=1/2+2x

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



3x-5=1/2+2x
We move all terms to the left:
3x-5-(1/2+2x)=0
Domain of the equation: 2+2x)!=0
We move all terms containing x to the left, all other terms to the right
2x)!=-2
x!=-2/1
x!=-2
x∈R
We add all the numbers together, and all the variables
3x-(+2x+1/2)-5=0
We get rid of parentheses
3x-2x-5-1/2=0
We multiply all the terms by the denominator
3x*2-2x*2-1-5*2=0
We add all the numbers together, and all the variables
3x*2-2x*2-11=0
Wy multiply elements
6x-4x-11=0
We add all the numbers together, and all the variables
2x-11=0
We move all terms containing x to the left, all other terms to the right
2x=11
x=11/2
x=5+1/2

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