2(5r+60)=20(2r-18)

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Solution for 2(5r+60)=20(2r-18) equation: 


Simplifying
2(5r + 60) = 20(2r + -18)

Reorder the terms:
2(60 + 5r) = 20(2r + -18)
(60 * 2 + 5r * 2) = 20(2r + -18)
(120 + 10r) = 20(2r + -18)

Reorder the terms:
120 + 10r = 20(-18 + 2r)
120 + 10r = (-18 * 20 + 2r * 20)
120 + 10r = (-360 + 40r)

Solving
120 + 10r = -360 + 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.
120 + 10r + -40r = -360 + 40r + -40r

Combine like terms: 10r + -40r = -30r
120 + -30r = -360 + 40r + -40r

Combine like terms: 40r + -40r = 0
120 + -30r = -360 + 0
120 + -30r = -360

Add '-120' to each side of the equation.
120 + -120 + -30r = -360 + -120

Combine like terms: 120 + -120 = 0
0 + -30r = -360 + -120
-30r = -360 + -120

Combine like terms: -360 + -120 = -480
-30r = -480

Divide each side by '-30'.
r = 16

Simplifying
r = 16

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