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

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

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

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

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

Remove parenthesis around (-3 + a)
6 + 3a = -3 + a

Solving
6 + 3a = -3 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
6 + 3a + -1a = -3 + a + -1a

Combine like terms: 3a + -1a = 2a
6 + 2a = -3 + a + -1a

Combine like terms: a + -1a = 0
6 + 2a = -3 + 0
6 + 2a = -3

Add '-6' to each side of the equation.
6 + -6 + 2a = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = -3 + -6
2a = -3 + -6

Combine like terms: -3 + -6 = -9
2a = -9

Divide each side by '2'.
a = -4.5

Simplifying
a = -4.5