3(3r+12)=2(4r+7)

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Solution for 3(3r+12)=2(4r+7) equation: 


Simplifying
3(3r + 12) = 2(4r + 7)

Reorder the terms:
3(12 + 3r) = 2(4r + 7)
(12 * 3 + 3r * 3) = 2(4r + 7)
(36 + 9r) = 2(4r + 7)

Reorder the terms:
36 + 9r = 2(7 + 4r)
36 + 9r = (7 * 2 + 4r * 2)
36 + 9r = (14 + 8r)

Solving
36 + 9r = 14 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
36 + 9r + -8r = 14 + 8r + -8r

Combine like terms: 9r + -8r = 1r
36 + 1r = 14 + 8r + -8r

Combine like terms: 8r + -8r = 0
36 + 1r = 14 + 0
36 + 1r = 14

Add '-36' to each side of the equation.
36 + -36 + 1r = 14 + -36

Combine like terms: 36 + -36 = 0
0 + 1r = 14 + -36
1r = 14 + -36

Combine like terms: 14 + -36 = -22
1r = -22

Divide each side by '1'.
r = -22

Simplifying
r = -22

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