0.5(10a+12)=a-6

Solution for 0.5(10a+12)=a-6 equation:

Simplifying
0.5(10a + 12) = a + -6

Reorder the terms:
0.5(12 + 10a) = a + -6
(12 * 0.5 + 10a * 0.5) = a + -6
(6 + 5a) = a + -6

Reorder the terms:
6 + 5a = -6 + a

Solving
6 + 5a = -6 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
6 + 5a + -1a = -6 + a + -1a

Combine like terms: 5a + -1a = 4a
6 + 4a = -6 + a + -1a

Combine like terms: a + -1a = 0
6 + 4a = -6 + 0
6 + 4a = -6

Add '-6' to each side of the equation.
6 + -6 + 4a = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 4a = -6 + -6
4a = -6 + -6

Combine like terms: -6 + -6 = -12
4a = -12

Divide each side by '4'.
a = -3

Simplifying
a = -3