2x/(5-3x)=2

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

2x/(5-3x)=2

We move all terms to the left:

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


Domain of the equation: (5-3x)!=0

We move all terms containing x to the left, all other terms to the right

-3x!=-5

x!=-5/-3

x!=1+2/3

x∈R


We add all the numbers together, and all the variables

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

We multiply all the terms by the denominator


2x-2*(-3x+5)=0

We multiply parentheses

2x+6x-10=0

We add all the numbers together, and all the variables

8x-10=0

We move all terms containing x to the left, all other terms to the right

8x=10

x=10/8

x=1+1/4