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

Solution for 2(a+3)+3(a-1)= equation:

Simplifying
2(a + 3) + 3(a + -1) = 0

Reorder the terms:
2(3 + a) + 3(a + -1) = 0
(3 * 2 + a * 2) + 3(a + -1) = 0
(6 + 2a) + 3(a + -1) = 0

Reorder the terms:
6 + 2a + 3(-1 + a) = 0
6 + 2a + (-1 * 3 + a * 3) = 0
6 + 2a + (-3 + 3a) = 0

Reorder the terms:
6 + -3 + 2a + 3a = 0

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

Combine like terms: 2a + 3a = 5a
3 + 5a = 0

Solving
3 + 5a = 0

Solving for variable 'a'.

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

Add '-3' to each side of the equation.
3 + -3 + 5a = 0 + -3

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

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

Divide each side by '5'.
a = -0.6

Simplifying
a = -0.6