1/2x+6=5/2x-2

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Solution for 1/2x+6=5/2x-2 equation: 



1/2x+6=5/2x-2

We move all terms to the left:

1/2x+6-(5/2x-2)=0



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





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

x∈R



We get rid of parentheses

1/2x-5/2x+2+6=0

We multiply all the terms by the denominator


2*2x+6*2x+1-5=0

We add all the numbers together, and all the variables

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

Wy multiply elements

4x+12x-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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