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

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



(5x-8)/(8x+9)=5/8
We move all terms to the left:
(5x-8)/(8x+9)-(5/8)=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 add all the numbers together, and all the variables
(5x-8)/(8x+9)-(+5/8)=0
We get rid of parentheses
(5x-8)/(8x+9)-5/8=0
We calculate fractions
(40x-64)/(64x+72)+(-40x-45)/(64x+72)=0
We multiply all the terms by the denominator
(40x-64)+(-40x-45)=0
We get rid of parentheses
40x-40x-64-45=0
We add all the numbers together, and all the variables
-109!=0
There is no solution for this equation

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