3(10-r)=2r

Solution for 3(10-r)=2r equation:

Simplifying
3(10 + -1r) = 2r
(10 * 3 + -1r * 3) = 2r
(30 + -3r) = 2r

Solving
30 + -3r = 2r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-2r' to each side of the equation.
30 + -3r + -2r = 2r + -2r

Combine like terms: -3r + -2r = -5r
30 + -5r = 2r + -2r

Combine like terms: 2r + -2r = 0
30 + -5r = 0

Add '-30' to each side of the equation.
30 + -30 + -5r = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -5r = 0 + -30
-5r = 0 + -30

Combine like terms: 0 + -30 = -30
-5r = -30

Divide each side by '-5'.
r = 6

Simplifying
r = 6