12+5a=3(6a-9)

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Solution for 12+5a=3(6a-9) equation:


Simplifying
12 + 5a = 3(6a + -9)

Reorder the terms:
12 + 5a = 3(-9 + 6a)
12 + 5a = (-9 * 3 + 6a * 3)
12 + 5a = (-27 + 18a)

Solving
12 + 5a = -27 + 18a

Solving for variable 'a'.

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

Add '-18a' to each side of the equation.
12 + 5a + -18a = -27 + 18a + -18a

Combine like terms: 5a + -18a = -13a
12 + -13a = -27 + 18a + -18a

Combine like terms: 18a + -18a = 0
12 + -13a = -27 + 0
12 + -13a = -27

Add '-12' to each side of the equation.
12 + -12 + -13a = -27 + -12

Combine like terms: 12 + -12 = 0
0 + -13a = -27 + -12
-13a = -27 + -12

Combine like terms: -27 + -12 = -39
-13a = -39

Divide each side by '-13'.
a = 3

Simplifying
a = 3

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