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

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

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

We move all terms to the left:

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


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

x∈R



Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


2x/(4x^2-8x)+(-10xx/(4x^2-8x)=0


We calculate terms in parentheses: +(-10xx/(4x^2-8x), so:

-10xx/(4x^2-8x

We multiply all the terms by the denominator


-10xx

Back to the equation:

+(-10xx)


We get rid of parentheses

2x/(4x^2-8x)-10xx=0

We multiply all the terms by the denominator


2x-10xx*(4x^2-8x)=0

We multiply parentheses

-40x^3+80x^2+2x=0

We do not support expression: x^3