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

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

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

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

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

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

Combine like terms: 6 + 6 = 12
12 + -2a + 3a = 4

Combine like terms: -2a + 3a = 1a
12 + 1a = 4

Solving
12 + 1a = 4

Solving for variable 'a'.

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

Add '-12' to each side of the equation.
12 + -12 + 1a = 4 + -12

Combine like terms: 12 + -12 = 0
0 + 1a = 4 + -12
1a = 4 + -12

Combine like terms: 4 + -12 = -8
1a = -8

Divide each side by '1'.
a = -8

Simplifying
a = -8