12(a+3)+9=8a-7

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Solution for 12(a+3)+9=8a-7 equation:


Simplifying
12(a + 3) + 9 = 8a + -7

Reorder the terms:
12(3 + a) + 9 = 8a + -7
(3 * 12 + a * 12) + 9 = 8a + -7
(36 + 12a) + 9 = 8a + -7

Reorder the terms:
36 + 9 + 12a = 8a + -7

Combine like terms: 36 + 9 = 45
45 + 12a = 8a + -7

Reorder the terms:
45 + 12a = -7 + 8a

Solving
45 + 12a = -7 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
45 + 12a + -8a = -7 + 8a + -8a

Combine like terms: 12a + -8a = 4a
45 + 4a = -7 + 8a + -8a

Combine like terms: 8a + -8a = 0
45 + 4a = -7 + 0
45 + 4a = -7

Add '-45' to each side of the equation.
45 + -45 + 4a = -7 + -45

Combine like terms: 45 + -45 = 0
0 + 4a = -7 + -45
4a = -7 + -45

Combine like terms: -7 + -45 = -52
4a = -52

Divide each side by '4'.
a = -13

Simplifying
a = -13

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