-2r+20=2(2-5r)-8r

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Solution for -2r+20=2(2-5r)-8r equation: 


Simplifying
-2r + 20 = 2(2 + -5r) + -8r

Reorder the terms:
20 + -2r = 2(2 + -5r) + -8r
20 + -2r = (2 * 2 + -5r * 2) + -8r
20 + -2r = (4 + -10r) + -8r

Combine like terms: -10r + -8r = -18r
20 + -2r = 4 + -18r

Solving
20 + -2r = 4 + -18r

Solving for variable 'r'.

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

Add '18r' to each side of the equation.
20 + -2r + 18r = 4 + -18r + 18r

Combine like terms: -2r + 18r = 16r
20 + 16r = 4 + -18r + 18r

Combine like terms: -18r + 18r = 0
20 + 16r = 4 + 0
20 + 16r = 4

Add '-20' to each side of the equation.
20 + -20 + 16r = 4 + -20

Combine like terms: 20 + -20 = 0
0 + 16r = 4 + -20
16r = 4 + -20

Combine like terms: 4 + -20 = -16
16r = -16

Divide each side by '16'.
r = -1

Simplifying
r = -1

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