3(4a+2)+6a=9a-5

Solution for 3(4a+2)+6a=9a-5 equation:

Simplifying
3(4a + 2) + 6a = 9a + -5

Reorder the terms:
3(2 + 4a) + 6a = 9a + -5
(2 * 3 + 4a * 3) + 6a = 9a + -5
(6 + 12a) + 6a = 9a + -5

Combine like terms: 12a + 6a = 18a
6 + 18a = 9a + -5

Reorder the terms:
6 + 18a = -5 + 9a

Solving
6 + 18a = -5 + 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 + 18a + -9a = -5 + 9a + -9a

Combine like terms: 18a + -9a = 9a
6 + 9a = -5 + 9a + -9a

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

Add '-6' to each side of the equation.
6 + -6 + 9a = -5 + -6

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

Combine like terms: -5 + -6 = -11
9a = -11

Divide each side by '9'.
a = -1.222222222

Simplifying
a = -1.222222222