12a+5=3(a-4)+8

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Solution for 12a+5=3(a-4)+8 equation:


Simplifying
12a + 5 = 3(a + -4) + 8

Reorder the terms:
5 + 12a = 3(a + -4) + 8

Reorder the terms:
5 + 12a = 3(-4 + a) + 8
5 + 12a = (-4 * 3 + a * 3) + 8
5 + 12a = (-12 + 3a) + 8

Reorder the terms:
5 + 12a = -12 + 8 + 3a

Combine like terms: -12 + 8 = -4
5 + 12a = -4 + 3a

Solving
5 + 12a = -4 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
5 + 12a + -3a = -4 + 3a + -3a

Combine like terms: 12a + -3a = 9a
5 + 9a = -4 + 3a + -3a

Combine like terms: 3a + -3a = 0
5 + 9a = -4 + 0
5 + 9a = -4

Add '-5' to each side of the equation.
5 + -5 + 9a = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 9a = -4 + -5
9a = -4 + -5

Combine like terms: -4 + -5 = -9
9a = -9

Divide each side by '9'.
a = -1

Simplifying
a = -1

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