3(1-3r)=2(4-r)

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

3(1-3r)=2(4-r)

We move all terms to the left:

3(1-3r)-(2(4-r))=0

We add all the numbers together, and all the variables

3(-3r+1)-(2(-1r+4))=0

We multiply parentheses

-9r-(2(-1r+4))+3=0


We calculate terms in parentheses: -(2(-1r+4)), so:

2(-1r+4)

We multiply parentheses

-2r+8

Back to the equation:

-(-2r+8)


We get rid of parentheses

-9r+2r-8+3=0

We add all the numbers together, and all the variables

-7r-5=0

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

-7r=5

r=5/-7

r=-5/7