(-x+1)/(7x-1)=-4/5

Solution for (-x+1)/(7x-1)=-4/5 equation:

(-x+1)/(7x-1)=-4/5

We move all terms to the left:

(-x+1)/(7x-1)-(-4/5)=0


Domain of the equation: (7x-1)!=0

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

7x!=1

x!=1/7

x!=1/7

x∈R


We add all the numbers together, and all the variables

(-1x+1)/(7x-1)-(-4/5)=0

We get rid of parentheses

(-1x+1)/(7x-1)+4/5=0

We calculate fractions


(-5x+5)/(35x-5)+(28x-4)/(35x-5)=0

We multiply all the terms by the denominator


(-5x+5)+(28x-4)=0

We get rid of parentheses

-5x+28x+5-4=0

We add all the numbers together, and all the variables

23x+1=0

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

23x=-1

x=-1/23

x=-1/23