2(4-1/3x)=3(x-2)

Solution for 2(4-1/3x)=3(x-2) equation:

2(4-1/3x)=3(x-2)

We move all terms to the left:

2(4-1/3x)-(3(x-2))=0


Domain of the equation: 3x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2(-1/3x+4)-(3(x-2))=0

We multiply parentheses

-2x-(3(x-2))+8=0


We calculate terms in parentheses: -(3(x-2)), so:

3(x-2)

We multiply parentheses

3x-6

Back to the equation:

-(3x-6)


We get rid of parentheses

-2x-3x+6+8=0

We add all the numbers together, and all the variables

-5x+14=0

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

-5x=-14

x=-14/-5

x=2+4/5