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

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

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

We move all terms to the left:

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


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



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

x∈R


We get rid of parentheses

5/3x-2/3x-5-1=0

We multiply all the terms by the denominator


-5*3x-1*3x+5-2=0

We add all the numbers together, and all the variables

-5*3x-1*3x+3=0

Wy multiply elements

-15x-3x+3=0

We add all the numbers together, and all the variables

-18x+3=0

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

-18x=-3

x=-3/-18

x=1/6