5r+2=-2(-4-2r)-8

Solution for 5r+2=-2(-4-2r)-8 equation:

Simplifying
5r + 2 = -2(-4 + -2r) + -8

Reorder the terms:
2 + 5r = -2(-4 + -2r) + -8
2 + 5r = (-4 * -2 + -2r * -2) + -8
2 + 5r = (8 + 4r) + -8

Reorder the terms:
2 + 5r = 8 + -8 + 4r

Combine like terms: 8 + -8 = 0
2 + 5r = 0 + 4r
2 + 5r = 4r

Solving
2 + 5r = 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
2 + 5r + -4r = 4r + -4r

Combine like terms: 5r + -4r = 1r
2 + 1r = 4r + -4r

Combine like terms: 4r + -4r = 0
2 + 1r = 0

Add '-2' to each side of the equation.
2 + -2 + 1r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1r = 0 + -2
1r = 0 + -2

Combine like terms: 0 + -2 = -2
1r = -2

Divide each side by '1'.
r = -2

Simplifying
r = -2