(1-4x)/(1-2x)=9/8

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Solution for (1-4x)/(1-2x)=9/8 equation:



(1-4x)/(1-2x)=9/8
We move all terms to the left:
(1-4x)/(1-2x)-(9/8)=0
Domain of the equation: (1-2x)!=0
We move all terms containing x to the left, all other terms to the right
-2x!=-1
x!=-1/-2
x!=1/2
x∈R
We add all the numbers together, and all the variables
(-4x+1)/(-2x+1)-(+9/8)=0
We get rid of parentheses
(-4x+1)/(-2x+1)-9/8=0
We calculate fractions
(-32x+8)/(-16x+8)+(18x-9)/(-16x+8)=0
We multiply all the terms by the denominator
(-32x+8)+(18x-9)=0
We get rid of parentheses
-32x+18x+8-9=0
We add all the numbers together, and all the variables
-14x-1=0
We move all terms containing x to the left, all other terms to the right
-14x=1
x=1/-14
x=-1/14

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