-5(r-3)=-20+2r

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Solution for -5(r-3)=-20+2r equation:


Simplifying
-5(r + -3) = -20 + 2r

Reorder the terms:
-5(-3 + r) = -20 + 2r
(-3 * -5 + r * -5) = -20 + 2r
(15 + -5r) = -20 + 2r

Solving
15 + -5r = -20 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
15 + -5r + -2r = -20 + 2r + -2r

Combine like terms: -5r + -2r = -7r
15 + -7r = -20 + 2r + -2r

Combine like terms: 2r + -2r = 0
15 + -7r = -20 + 0
15 + -7r = -20

Add '-15' to each side of the equation.
15 + -15 + -7r = -20 + -15

Combine like terms: 15 + -15 = 0
0 + -7r = -20 + -15
-7r = -20 + -15

Combine like terms: -20 + -15 = -35
-7r = -35

Divide each side by '-7'.
r = 5

Simplifying
r = 5

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