2(5r+30)=15(2r-12)

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Solution for 2(5r+30)=15(2r-12) equation: 


Simplifying
2(5r + 30) = 15(2r + -12)

Reorder the terms:
2(30 + 5r) = 15(2r + -12)
(30 * 2 + 5r * 2) = 15(2r + -12)
(60 + 10r) = 15(2r + -12)

Reorder the terms:
60 + 10r = 15(-12 + 2r)
60 + 10r = (-12 * 15 + 2r * 15)
60 + 10r = (-180 + 30r)

Solving
60 + 10r = -180 + 30r

Solving for variable 'r'.

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

Add '-30r' to each side of the equation.
60 + 10r + -30r = -180 + 30r + -30r

Combine like terms: 10r + -30r = -20r
60 + -20r = -180 + 30r + -30r

Combine like terms: 30r + -30r = 0
60 + -20r = -180 + 0
60 + -20r = -180

Add '-60' to each side of the equation.
60 + -60 + -20r = -180 + -60

Combine like terms: 60 + -60 = 0
0 + -20r = -180 + -60
-20r = -180 + -60

Combine like terms: -180 + -60 = -240
-20r = -240

Divide each side by '-20'.
r = 12

Simplifying
r = 12

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