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

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



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

We move all terms to the left:

x+2/2x-1-(x-1/2x+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

x+2/2x-x+1/2x-8-1=0

We multiply all the terms by the denominator


x*2x-x*2x-8*2x-1*2x+2+1=0

We add all the numbers together, and all the variables

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

Wy multiply elements

2x^2-2x^2-16x-2x+3=0

We add all the numbers together, and all the variables

-18x+3=0

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

-18x=-3

x=-3/-18

x=1/6

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