2(5r+15)=20(2r-12)

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Solution for 2(5r+15)=20(2r-12) equation: 


Simplifying
2(5r + 15) = 20(2r + -12)

Reorder the terms:
2(15 + 5r) = 20(2r + -12)
(15 * 2 + 5r * 2) = 20(2r + -12)
(30 + 10r) = 20(2r + -12)

Reorder the terms:
30 + 10r = 20(-12 + 2r)
30 + 10r = (-12 * 20 + 2r * 20)
30 + 10r = (-240 + 40r)

Solving
30 + 10r = -240 + 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.
30 + 10r + -40r = -240 + 40r + -40r

Combine like terms: 10r + -40r = -30r
30 + -30r = -240 + 40r + -40r

Combine like terms: 40r + -40r = 0
30 + -30r = -240 + 0
30 + -30r = -240

Add '-30' to each side of the equation.
30 + -30 + -30r = -240 + -30

Combine like terms: 30 + -30 = 0
0 + -30r = -240 + -30
-30r = -240 + -30

Combine like terms: -240 + -30 = -270
-30r = -270

Divide each side by '-30'.
r = 9

Simplifying
r = 9

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