(r-3)(-2)+5r=

Solution for (r-3)(-2)+5r= equation:

Simplifying
(r + -3)(-2) + 5r = 0

Reorder the terms:
(-3 + r)(-2) + 5r = 0

Reorder the terms for easier multiplication:
-2(-3 + r) + 5r = 0
(-3 * -2 + r * -2) + 5r = 0
(6 + -2r) + 5r = 0

Combine like terms: -2r + 5r = 3r
6 + 3r = 0

Solving
6 + 3r = 0

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + -6 + 3r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3r = 0 + -6
3r = 0 + -6

Combine like terms: 0 + -6 = -6
3r = -6

Divide each side by '3'.
r = -2

Simplifying
r = -2