3/2x-6=1/2x+1

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Solution for 3/2x-6=1/2x+1 equation: 



3/2x-6=1/2x+1

We move all terms to the left:

3/2x-6-(1/2x+1)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: 2x+1)!=0

x∈R



We get rid of parentheses

3/2x-1/2x-1-6=0

We multiply all the terms by the denominator


-1*2x-6*2x+3-1=0

We add all the numbers together, and all the variables

-1*2x-6*2x+2=0

Wy multiply elements

-2x-12x+2=0

We add all the numbers together, and all the variables

-14x+2=0

We move all terms containing x to the left, all other terms to the right

-14x=-2

x=-2/-14

x=1/7

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