8(2r-3)-r=3(3r+12)

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Solution for 8(2r-3)-r=3(3r+12) equation: 


Simplifying
8(2r + -3) + -1r = 3(3r + 12)

Reorder the terms:
8(-3 + 2r) + -1r = 3(3r + 12)
(-3 * 8 + 2r * 8) + -1r = 3(3r + 12)
(-24 + 16r) + -1r = 3(3r + 12)

Combine like terms: 16r + -1r = 15r
-24 + 15r = 3(3r + 12)

Reorder the terms:
-24 + 15r = 3(12 + 3r)
-24 + 15r = (12 * 3 + 3r * 3)
-24 + 15r = (36 + 9r)

Solving
-24 + 15r = 36 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
-24 + 15r + -9r = 36 + 9r + -9r

Combine like terms: 15r + -9r = 6r
-24 + 6r = 36 + 9r + -9r

Combine like terms: 9r + -9r = 0
-24 + 6r = 36 + 0
-24 + 6r = 36

Add '24' to each side of the equation.
-24 + 24 + 6r = 36 + 24

Combine like terms: -24 + 24 = 0
0 + 6r = 36 + 24
6r = 36 + 24

Combine like terms: 36 + 24 = 60
6r = 60

Divide each side by '6'.
r = 10

Simplifying
r = 10

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