(4a-5)+(3a+6)=0

Solution for (4a-5)+(3a+6)=0 equation:

Simplifying
(4a + -5) + (3a + 6) = 0

Reorder the terms:
(-5 + 4a) + (3a + 6) = 0

Remove parenthesis around (-5 + 4a)
-5 + 4a + (3a + 6) = 0

Reorder the terms:
-5 + 4a + (6 + 3a) = 0

Remove parenthesis around (6 + 3a)
-5 + 4a + 6 + 3a = 0

Reorder the terms:
-5 + 6 + 4a + 3a = 0

Combine like terms: -5 + 6 = 1
1 + 4a + 3a = 0

Combine like terms: 4a + 3a = 7a
1 + 7a = 0

Solving
1 + 7a = 0

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + -1 + 7a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7a = 0 + -1
7a = 0 + -1

Combine like terms: 0 + -1 = -1
7a = -1

Divide each side by '7'.
a = -0.1428571429

Simplifying
a = -0.1428571429