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

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

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

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

Reorder the terms:
6 + 6r + -2(-2 + 5r) = 0
6 + 6r + (-2 * -2 + 5r * -2) = 0
6 + 6r + (4 + -10r) = 0

Reorder the terms:
6 + 4 + 6r + -10r = 0

Combine like terms: 6 + 4 = 10
10 + 6r + -10r = 0

Combine like terms: 6r + -10r = -4r
10 + -4r = 0

Solving
10 + -4r = 0

Solving for variable 'r'.

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

Add '-10' to each side of the equation.
10 + -10 + -4r = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -4r = 0 + -10
-4r = 0 + -10

Combine like terms: 0 + -10 = -10
-4r = -10

Divide each side by '-4'.
r = 2.5

Simplifying
r = 2.5