(2x-1)/(5x-4)=6/8

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Solution for (2x-1)/(5x-4)=6/8 equation:



(2x-1)/(5x-4)=6/8
We move all terms to the left:
(2x-1)/(5x-4)-(6/8)=0
Domain of the equation: (5x-4)!=0
We move all terms containing x to the left, all other terms to the right
5x!=4
x!=4/5
x!=4/5
x∈R
We add all the numbers together, and all the variables
(2x-1)/(5x-4)-(+6/8)=0
We get rid of parentheses
(2x-1)/(5x-4)-6/8=0
We calculate fractions
(16x-8)/(40x-32)+(-30x+24)/(40x-32)=0
We multiply all the terms by the denominator
(16x-8)+(-30x+24)=0
We get rid of parentheses
16x-30x-8+24=0
We add all the numbers together, and all the variables
-14x+16=0
We move all terms containing x to the left, all other terms to the right
-14x=-16
x=-16/-14
x=1+1/7

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