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

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

Simplifying
3(2r + 2) + -1(r + -4) = 2r + 2

Reorder the terms:
3(2 + 2r) + -1(r + -4) = 2r + 2
(2 * 3 + 2r * 3) + -1(r + -4) = 2r + 2
(6 + 6r) + -1(r + -4) = 2r + 2

Reorder the terms:
6 + 6r + -1(-4 + r) = 2r + 2
6 + 6r + (-4 * -1 + r * -1) = 2r + 2
6 + 6r + (4 + -1r) = 2r + 2

Reorder the terms:
6 + 4 + 6r + -1r = 2r + 2

Combine like terms: 6 + 4 = 10
10 + 6r + -1r = 2r + 2

Combine like terms: 6r + -1r = 5r
10 + 5r = 2r + 2

Reorder the terms:
10 + 5r = 2 + 2r

Solving
10 + 5r = 2 + 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.
10 + 5r + -2r = 2 + 2r + -2r

Combine like terms: 5r + -2r = 3r
10 + 3r = 2 + 2r + -2r

Combine like terms: 2r + -2r = 0
10 + 3r = 2 + 0
10 + 3r = 2

Add '-10' to each side of the equation.
10 + -10 + 3r = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 3r = 2 + -10
3r = 2 + -10

Combine like terms: 2 + -10 = -8
3r = -8

Divide each side by '3'.
r = -2.666666667

Simplifying
r = -2.666666667