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

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


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

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

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

Reorder the terms:
36 + 12r = 10 + -3 + 2r

Combine like terms: 10 + -3 = 7
36 + 12r = 7 + 2r

Solving
36 + 12r = 7 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
36 + 12r + -2r = 7 + 2r + -2r

Combine like terms: 12r + -2r = 10r
36 + 10r = 7 + 2r + -2r

Combine like terms: 2r + -2r = 0
36 + 10r = 7 + 0
36 + 10r = 7

Add '-36' to each side of the equation.
36 + -36 + 10r = 7 + -36

Combine like terms: 36 + -36 = 0
0 + 10r = 7 + -36
10r = 7 + -36

Combine like terms: 7 + -36 = -29
10r = -29

Divide each side by '10'.
r = -2.9

Simplifying
r = -2.9

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