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

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

Simplifying
2(a + 3) = 3(9 + -1a)

Reorder the terms:
2(3 + a) = 3(9 + -1a)
(3 * 2 + a * 2) = 3(9 + -1a)
(6 + 2a) = 3(9 + -1a)
6 + 2a = (9 * 3 + -1a * 3)
6 + 2a = (27 + -3a)

Solving
6 + 2a = 27 + -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 = 27 + -3a + 3a

Combine like terms: 2a + 3a = 5a
6 + 5a = 27 + -3a + 3a

Combine like terms: -3a + 3a = 0
6 + 5a = 27 + 0
6 + 5a = 27

Add '-6' to each side of the equation.
6 + -6 + 5a = 27 + -6

Combine like terms: 6 + -6 = 0
0 + 5a = 27 + -6
5a = 27 + -6

Combine like terms: 27 + -6 = 21
5a = 21

Divide each side by '5'.
a = 4.2

Simplifying
a = 4.2