.5(4a+12)=2+3(6-a)

Solution for .5(4a+12)=2+3(6-a) equation:

Simplifying
0.5(4a + 12) = 2 + 3(6 + -1a)

Reorder the terms:
0.5(12 + 4a) = 2 + 3(6 + -1a)
(12 * 0.5 + 4a * 0.5) = 2 + 3(6 + -1a)
(6 + 2a) = 2 + 3(6 + -1a)
6 + 2a = 2 + (6 * 3 + -1a * 3)
6 + 2a = 2 + (18 + -3a)

Combine like terms: 2 + 18 = 20
6 + 2a = 20 + -3a

Solving
6 + 2a = 20 + -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.
6 + 2a + 3a = 20 + -3a + 3a

Combine like terms: 2a + 3a = 5a
6 + 5a = 20 + -3a + 3a

Combine like terms: -3a + 3a = 0
6 + 5a = 20 + 0
6 + 5a = 20

Add '-6' to each side of the equation.
6 + -6 + 5a = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 5a = 20 + -6
5a = 20 + -6

Combine like terms: 20 + -6 = 14
5a = 14

Divide each side by '5'.
a = 2.8

Simplifying
a = 2.8