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

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



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

We move all terms to the left:

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

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

1*2x+6*2x+4=0

Wy multiply elements

2x+12x+4=0

We add all the numbers together, and all the variables

14x+4=0

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

14x=-4

x=-4/14

x=-2/7

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