6(a+2)*3=3(10-3a)

Solution for 6(a+2)*3=3(10-3a) equation:

Simplifying
6(a + 2) * 3 = 3(10 + -3a)

Reorder the terms:
6(2 + a) * 3 = 3(10 + -3a)

Reorder the terms for easier multiplication:
6 * 3(2 + a) = 3(10 + -3a)

Multiply 6 * 3
18(2 + a) = 3(10 + -3a)
(2 * 18 + a * 18) = 3(10 + -3a)
(36 + 18a) = 3(10 + -3a)
36 + 18a = (10 * 3 + -3a * 3)
36 + 18a = (30 + -9a)

Solving
36 + 18a = 30 + -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.
36 + 18a + 9a = 30 + -9a + 9a

Combine like terms: 18a + 9a = 27a
36 + 27a = 30 + -9a + 9a

Combine like terms: -9a + 9a = 0
36 + 27a = 30 + 0
36 + 27a = 30

Add '-36' to each side of the equation.
36 + -36 + 27a = 30 + -36

Combine like terms: 36 + -36 = 0
0 + 27a = 30 + -36
27a = 30 + -36

Combine like terms: 30 + -36 = -6
27a = -6

Divide each side by '27'.
a = -0.2222222222

Simplifying
a = -0.2222222222