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

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


Simplifying
2(2 + -1r) + 8 = 5(4 + r) + -5
(2 * 2 + -1r * 2) + 8 = 5(4 + r) + -5
(4 + -2r) + 8 = 5(4 + r) + -5

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

Combine like terms: 4 + 8 = 12
12 + -2r = 5(4 + r) + -5
12 + -2r = (4 * 5 + r * 5) + -5
12 + -2r = (20 + 5r) + -5

Reorder the terms:
12 + -2r = 20 + -5 + 5r

Combine like terms: 20 + -5 = 15
12 + -2r = 15 + 5r

Solving
12 + -2r = 15 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
12 + -2r + -5r = 15 + 5r + -5r

Combine like terms: -2r + -5r = -7r
12 + -7r = 15 + 5r + -5r

Combine like terms: 5r + -5r = 0
12 + -7r = 15 + 0
12 + -7r = 15

Add '-12' to each side of the equation.
12 + -12 + -7r = 15 + -12

Combine like terms: 12 + -12 = 0
0 + -7r = 15 + -12
-7r = 15 + -12

Combine like terms: 15 + -12 = 3
-7r = 3

Divide each side by '-7'.
r = -0.4285714286

Simplifying
r = -0.4285714286

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