(5x-8)/(8x+9)=17

Solution for (5x-8)/(8x+9)=17 equation:

(5x-8)/(8x+9)=17

We move all terms to the left:

(5x-8)/(8x+9)-(17)=0


Domain of the equation: (8x+9)!=0

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

8x!=-9

x!=-9/8

x!=-1+1/8

x∈R


We multiply all the terms by the denominator


(5x-8)-17*(8x+9)=0

We multiply parentheses

(5x-8)-136x-153=0

We get rid of parentheses

5x-136x-8-153=0

We add all the numbers together, and all the variables

-131x-161=0

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

-131x=161

x=161/-131

x=-1+30/131