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

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

Simplifying
-2(3 + 3r) = 2(r + 5)
(3 * -2 + 3r * -2) = 2(r + 5)
(-6 + -6r) = 2(r + 5)

Reorder the terms:
-6 + -6r = 2(5 + r)
-6 + -6r = (5 * 2 + r * 2)
-6 + -6r = (10 + 2r)

Solving
-6 + -6r = 10 + 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.
-6 + -6r + -2r = 10 + 2r + -2r

Combine like terms: -6r + -2r = -8r
-6 + -8r = 10 + 2r + -2r

Combine like terms: 2r + -2r = 0
-6 + -8r = 10 + 0
-6 + -8r = 10

Add '6' to each side of the equation.
-6 + 6 + -8r = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -8r = 10 + 6
-8r = 10 + 6

Combine like terms: 10 + 6 = 16
-8r = 16

Divide each side by '-8'.
r = -2

Simplifying
r = -2