1/2(x-5)+2/3x=x

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Solution for 1/2(x-5)+2/3x=x equation: 



1/2(x-5)+2/3x=x

We move all terms to the left:

1/2(x-5)+2/3x-(x)=0



Domain of the equation: 2(x-5)!=0

x∈R





Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



We add all the numbers together, and all the variables

-1x+1/2(x-5)+2/3x=0

We calculate fractions


-1x+3x/(6x^2-30x)+(4xx/(6x^2-30x)=0



We calculate terms in parentheses: +(4xx/(6x^2-30x), so:

4xx/(6x^2-30x

We multiply all the terms by the denominator


4xx

Back to the equation:

+(4xx)



We multiply all the terms by the denominator


-1x*(6x^2-30x)+3x+4xx*(6x^2-30x)=0

We add all the numbers together, and all the variables

3x-1x*(6x^2-30x)+4xx*(6x^2-30x)=0

We multiply parentheses

-6x^3+30x^2+24x^3-120x^2+3x=0

We do not support expression: x^3

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