3(5r+20)=10(3r-6)

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Solution for 3(5r+20)=10(3r-6) equation: 


Simplifying
3(5r + 20) = 10(3r + -6)

Reorder the terms:
3(20 + 5r) = 10(3r + -6)
(20 * 3 + 5r * 3) = 10(3r + -6)
(60 + 15r) = 10(3r + -6)

Reorder the terms:
60 + 15r = 10(-6 + 3r)
60 + 15r = (-6 * 10 + 3r * 10)
60 + 15r = (-60 + 30r)

Solving
60 + 15r = -60 + 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 + 15r + -30r = -60 + 30r + -30r

Combine like terms: 15r + -30r = -15r
60 + -15r = -60 + 30r + -30r

Combine like terms: 30r + -30r = 0
60 + -15r = -60 + 0
60 + -15r = -60

Add '-60' to each side of the equation.
60 + -60 + -15r = -60 + -60

Combine like terms: 60 + -60 = 0
0 + -15r = -60 + -60
-15r = -60 + -60

Combine like terms: -60 + -60 = -120
-15r = -120

Divide each side by '-15'.
r = 8

Simplifying
r = 8

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