3x/(x-1)=4/5

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Solution for 3x/(x-1)=4/5 equation:



3x/(x-1)=4/5
We move all terms to the left:
3x/(x-1)-(4/5)=0
Domain of the equation: (x-1)!=0
We move all terms containing x to the left, all other terms to the right
x!=1
x∈R
We add all the numbers together, and all the variables
3x/(x-1)-(+4/5)=0
We get rid of parentheses
3x/(x-1)-4/5=0
We calculate fractions
15x/(5x-5)+(-4x+4)/(5x-5)=0
We multiply all the terms by the denominator
15x+(-4x+4)=0
We get rid of parentheses
15x-4x+4=0
We add all the numbers together, and all the variables
11x+4=0
We move all terms containing x to the left, all other terms to the right
11x=-4
x=-4/11
x=-4/11

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