.5(12+8a)=9a

Solution for .5(12+8a)=9a equation:

Simplifying
0.5(12 + 8a) = 9a
(12 * 0.5 + 8a * 0.5) = 9a
(6 + 4a) = 9a

Solving
6 + 4a = 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
6 + 4a + -9a = 9a + -9a

Combine like terms: 4a + -9a = -5a
6 + -5a = 9a + -9a

Combine like terms: 9a + -9a = 0
6 + -5a = 0

Add '-6' to each side of the equation.
6 + -6 + -5a = 0 + -6

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

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

Divide each side by '-5'.
a = 1.2

Simplifying
a = 1.2