1/2x+6=-3/2x-8

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Solution for 1/2x+6=-3/2x-8 equation: 



1/2x+6=-3/2x-8

We move all terms to the left:

1/2x+6-(-3/2x-8)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: 2x-8)!=0

x∈R



We get rid of parentheses

1/2x+3/2x+8+6=0

We multiply all the terms by the denominator


8*2x+6*2x+1+3=0

We add all the numbers together, and all the variables

8*2x+6*2x+4=0

Wy multiply elements

16x+12x+4=0

We add all the numbers together, and all the variables

28x+4=0

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

28x=-4

x=-4/28

x=-1/7

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