(5+6a)-(-1+3a)=

Solution for (5+6a)-(-1+3a)= equation:

Simplifying
(5 + 6a) + -1(-1 + 3a) = 0

Remove parenthesis around (5 + 6a)
5 + 6a + -1(-1 + 3a) = 0
5 + 6a + (-1 * -1 + 3a * -1) = 0
5 + 6a + (1 + -3a) = 0

Reorder the terms:
5 + 1 + 6a + -3a = 0

Combine like terms: 5 + 1 = 6
6 + 6a + -3a = 0

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

Solving
6 + 3a = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 3a = 0 + -6

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

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

Divide each side by '3'.
a = -2

Simplifying
a = -2