2(x-1)/x+3-7(x+3)/x-1=5

Solution for 2(x-1)/x+3-7(x+3)/x-1=5 equation:

2(x-1)/x+3-7(x+3)/x-1=5

We move all terms to the left:

2(x-1)/x+3-7(x+3)/x-1-(5)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

2(x-1)/x-7(x+3)/x-3=0

We multiply all the terms by the denominator


2(x-1)-7(x+3)-3*x=0

We add all the numbers together, and all the variables

-3x+2(x-1)-7(x+3)=0

We multiply parentheses

-3x+2x-7x-2-21=0

We add all the numbers together, and all the variables

-8x-23=0

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

-8x=23

x=23/-8

x=-2+7/8