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

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


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

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

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

Solving
10 + -2r = -8 + -8r

Solving for variable 'r'.

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

Add '8r' to each side of the equation.
10 + -2r + 8r = -8 + -8r + 8r

Combine like terms: -2r + 8r = 6r
10 + 6r = -8 + -8r + 8r

Combine like terms: -8r + 8r = 0
10 + 6r = -8 + 0
10 + 6r = -8

Add '-10' to each side of the equation.
10 + -10 + 6r = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 6r = -8 + -10
6r = -8 + -10

Combine like terms: -8 + -10 = -18
6r = -18

Divide each side by '6'.
r = -3

Simplifying
r = -3

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