-12(a+6)+7a=12-3(5-6a)

Solution for -12(a+6)+7a=12-3(5-6a) equation:

Simplifying
-12(a + 6) + 7a = 12 + -3(5 + -6a)

Reorder the terms:
-12(6 + a) + 7a = 12 + -3(5 + -6a)
(6 * -12 + a * -12) + 7a = 12 + -3(5 + -6a)
(-72 + -12a) + 7a = 12 + -3(5 + -6a)

Combine like terms: -12a + 7a = -5a
-72 + -5a = 12 + -3(5 + -6a)
-72 + -5a = 12 + (5 * -3 + -6a * -3)
-72 + -5a = 12 + (-15 + 18a)

Combine like terms: 12 + -15 = -3
-72 + -5a = -3 + 18a

Solving
-72 + -5a = -3 + 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.
-72 + -5a + -18a = -3 + 18a + -18a

Combine like terms: -5a + -18a = -23a
-72 + -23a = -3 + 18a + -18a

Combine like terms: 18a + -18a = 0
-72 + -23a = -3 + 0
-72 + -23a = -3

Add '72' to each side of the equation.
-72 + 72 + -23a = -3 + 72

Combine like terms: -72 + 72 = 0
0 + -23a = -3 + 72
-23a = -3 + 72

Combine like terms: -3 + 72 = 69
-23a = 69

Divide each side by '-23'.
a = -3

Simplifying
a = -3