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

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

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

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

Remove parenthesis around (6 + 3a)
6 + 3a = 9(2a + -4)

Reorder the terms:
6 + 3a = 9(-4 + 2a)
6 + 3a = (-4 * 9 + 2a * 9)
6 + 3a = (-36 + 18a)

Solving
6 + 3a = -36 + 18a

Solving for variable 'a'.

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

Add '-18a' to each side of the equation.
6 + 3a + -18a = -36 + 18a + -18a

Combine like terms: 3a + -18a = -15a
6 + -15a = -36 + 18a + -18a

Combine like terms: 18a + -18a = 0
6 + -15a = -36 + 0
6 + -15a = -36

Add '-6' to each side of the equation.
6 + -6 + -15a = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -15a = -36 + -6
-15a = -36 + -6

Combine like terms: -36 + -6 = -42
-15a = -42

Divide each side by '-15'.
a = 2.8

Simplifying
a = 2.8