.5r-3=3*(4-1.5r)

Solution for .5r-3=3*(4-1.5r) equation:

.5r-3=3*(4-1.5r)

We move all terms to the left:

.5r-3-(3*(4-1.5r))=0

We add all the numbers together, and all the variables

.5r-(3*(-1.5r+4))-3=0


We calculate terms in parentheses: -(3*(-1.5r+4)), so:

3*(-1.5r+4)

We multiply parentheses

-3r+12

Back to the equation:

-(-3r+12)


We get rid of parentheses

.5r+3r-12-3=0

We add all the numbers together, and all the variables

3.5r-15=0

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

3.5r=15

r=15/3.5

r=4+1/3.5