2(a+3)+3(a-2)=18

Solution for 2(a+3)+3(a-2)=18 equation:

Simplifying
2(a + 3) + 3(a + -2) = 18

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

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

Reorder the terms:
6 + -6 + 2a + 3a = 18

Combine like terms: 6 + -6 = 0
0 + 2a + 3a = 18
2a + 3a = 18

Combine like terms: 2a + 3a = 5a
5a = 18

Solving
5a = 18

Solving for variable 'a'.

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

Divide each side by '5'.
a = 3.6

Simplifying
a = 3.6