12(r+3)=2(r+5)-3r

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Solution for 12(r+3)=2(r+5)-3r equation: 


Simplifying
12(r + 3) = 2(r + 5) + -3r

Reorder the terms:
12(3 + r) = 2(r + 5) + -3r
(3 * 12 + r * 12) = 2(r + 5) + -3r
(36 + 12r) = 2(r + 5) + -3r

Reorder the terms:
36 + 12r = 2(5 + r) + -3r
36 + 12r = (5 * 2 + r * 2) + -3r
36 + 12r = (10 + 2r) + -3r

Combine like terms: 2r + -3r = -1r
36 + 12r = 10 + -1r

Solving
36 + 12r = 10 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
36 + 12r + r = 10 + -1r + r

Combine like terms: 12r + r = 13r
36 + 13r = 10 + -1r + r

Combine like terms: -1r + r = 0
36 + 13r = 10 + 0
36 + 13r = 10

Add '-36' to each side of the equation.
36 + -36 + 13r = 10 + -36

Combine like terms: 36 + -36 = 0
0 + 13r = 10 + -36
13r = 10 + -36

Combine like terms: 10 + -36 = -26
13r = -26

Divide each side by '13'.
r = -2

Simplifying
r = -2

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