20r+80=40r-120

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Solution for 20r+80=40r-120 equation:


Simplifying
20r + 80 = 40r + -120

Reorder the terms:
80 + 20r = 40r + -120

Reorder the terms:
80 + 20r = -120 + 40r

Solving
80 + 20r = -120 + 40r

Solving for variable 'r'.

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

Add '-40r' to each side of the equation.
80 + 20r + -40r = -120 + 40r + -40r

Combine like terms: 20r + -40r = -20r
80 + -20r = -120 + 40r + -40r

Combine like terms: 40r + -40r = 0
80 + -20r = -120 + 0
80 + -20r = -120

Add '-80' to each side of the equation.
80 + -80 + -20r = -120 + -80

Combine like terms: 80 + -80 = 0
0 + -20r = -120 + -80
-20r = -120 + -80

Combine like terms: -120 + -80 = -200
-20r = -200

Divide each side by '-20'.
r = 10

Simplifying
r = 10

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