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

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



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

We move all terms to the left:

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



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: 2x-6)!=0

x∈R



We get rid of parentheses

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

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

Wy multiply elements

12x+4x-2=0

We add all the numbers together, and all the variables

16x-2=0

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

16x=2

x=2/16

x=1/8

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