2(4r+2)-3(r-2)=

Solution for 2(4r+2)-3(r-2)= equation:

Simplifying
2(4r + 2) + -3(r + -2) = 0

Reorder the terms:
2(2 + 4r) + -3(r + -2) = 0
(2 * 2 + 4r * 2) + -3(r + -2) = 0
(4 + 8r) + -3(r + -2) = 0

Reorder the terms:
4 + 8r + -3(-2 + r) = 0
4 + 8r + (-2 * -3 + r * -3) = 0
4 + 8r + (6 + -3r) = 0

Reorder the terms:
4 + 6 + 8r + -3r = 0

Combine like terms: 4 + 6 = 10
10 + 8r + -3r = 0

Combine like terms: 8r + -3r = 5r
10 + 5r = 0

Solving
10 + 5r = 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 + 5r = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 5r = 0 + -10
5r = 0 + -10

Combine like terms: 0 + -10 = -10
5r = -10

Divide each side by '5'.
r = -2

Simplifying
r = -2