3(3r-4)=2r-12

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


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

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

Reorder the terms:
-12 + 9r = -12 + 2r

Add '12' to each side of the equation.
-12 + 12 + 9r = -12 + 12 + 2r

Combine like terms: -12 + 12 = 0
0 + 9r = -12 + 12 + 2r
9r = -12 + 12 + 2r

Combine like terms: -12 + 12 = 0
9r = 0 + 2r
9r = 2r

Solving
9r = 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.
9r + -2r = 2r + -2r

Combine like terms: 9r + -2r = 7r
7r = 2r + -2r

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

Divide each side by '7'.
r = 0

Simplifying
r = 0

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