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+4=0

Wy multiply elements

-12x-4x+4=0

We add all the numbers together, and all the variables

-16x+4=0

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

-16x=-4

x=-4/-16

x=1/4

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