6(a+12)-a=-2(a+6)

Solution for 6(a+12)-a=-2(a+6) equation:

Simplifying
6(a + 12) + -1a = -2(a + 6)

Reorder the terms:
6(12 + a) + -1a = -2(a + 6)
(12 * 6 + a * 6) + -1a = -2(a + 6)
(72 + 6a) + -1a = -2(a + 6)

Combine like terms: 6a + -1a = 5a
72 + 5a = -2(a + 6)

Reorder the terms:
72 + 5a = -2(6 + a)
72 + 5a = (6 * -2 + a * -2)
72 + 5a = (-12 + -2a)

Solving
72 + 5a = -12 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
72 + 5a + 2a = -12 + -2a + 2a

Combine like terms: 5a + 2a = 7a
72 + 7a = -12 + -2a + 2a

Combine like terms: -2a + 2a = 0
72 + 7a = -12 + 0
72 + 7a = -12

Add '-72' to each side of the equation.
72 + -72 + 7a = -12 + -72

Combine like terms: 72 + -72 = 0
0 + 7a = -12 + -72
7a = -12 + -72

Combine like terms: -12 + -72 = -84
7a = -84

Divide each side by '7'.
a = -12

Simplifying
a = -12