2(5-5r)=-12+7(r+8)

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Solution for 2(5-5r)=-12+7(r+8) equation: 


Simplifying
2(5 + -5r) = -12 + 7(r + 8)
(5 * 2 + -5r * 2) = -12 + 7(r + 8)
(10 + -10r) = -12 + 7(r + 8)

Reorder the terms:
10 + -10r = -12 + 7(8 + r)
10 + -10r = -12 + (8 * 7 + r * 7)
10 + -10r = -12 + (56 + 7r)

Combine like terms: -12 + 56 = 44
10 + -10r = 44 + 7r

Solving
10 + -10r = 44 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
10 + -10r + -7r = 44 + 7r + -7r

Combine like terms: -10r + -7r = -17r
10 + -17r = 44 + 7r + -7r

Combine like terms: 7r + -7r = 0
10 + -17r = 44 + 0
10 + -17r = 44

Add '-10' to each side of the equation.
10 + -10 + -17r = 44 + -10

Combine like terms: 10 + -10 = 0
0 + -17r = 44 + -10
-17r = 44 + -10

Combine like terms: 44 + -10 = 34
-17r = 34

Divide each side by '-17'.
r = -2

Simplifying
r = -2

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