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

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

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

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

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

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

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

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

Solving
5 + 5a = 0

Solving for variable 'a'.

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

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

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

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

Divide each side by '5'.
a = -1

Simplifying
a = -1