x+4/3x-2=10/x-5

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Solution for x+4/3x-2=10/x-5 equation:



x+4/3x-2=10/x-5
We move all terms to the left:
x+4/3x-2-(10/x-5)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Domain of the equation: x-5)!=0
x∈R
We get rid of parentheses
x+4/3x-10/x+5-2=0
We calculate fractions
x+4x/3x^2+(-30x)/3x^2+5-2=0
We add all the numbers together, and all the variables
x+4x/3x^2+(-30x)/3x^2+3=0
We multiply all the terms by the denominator
x*3x^2+4x+(-30x)+3*3x^2=0
We add all the numbers together, and all the variables
4x+x*3x^2+(-30x)+3*3x^2=0
Wy multiply elements
3x^3+9x^2+4x+(-30x)=0
We get rid of parentheses
3x^3+9x^2+4x-30x=0
We do not support expression: x^3

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