a-(5a-6)+a+5=4+(a+1)-9

Solution for a-(5a-6)+a+5=4+(a+1)-9 equation:

Simplifying
a + -1(5a + -6) + a + 5 = 4 + (a + 1) + -9

Reorder the terms:
a + -1(-6 + 5a) + a + 5 = 4 + (a + 1) + -9
a + (-6 * -1 + 5a * -1) + a + 5 = 4 + (a + 1) + -9
a + (6 + -5a) + a + 5 = 4 + (a + 1) + -9

Reorder the terms:
6 + 5 + a + -5a + a = 4 + (a + 1) + -9

Combine like terms: 6 + 5 = 11
11 + a + -5a + a = 4 + (a + 1) + -9

Combine like terms: a + -5a = -4a
11 + -4a + a = 4 + (a + 1) + -9

Combine like terms: -4a + a = -3a
11 + -3a = 4 + (a + 1) + -9

Reorder the terms:
11 + -3a = 4 + (1 + a) + -9

Remove parenthesis around (1 + a)
11 + -3a = 4 + 1 + a + -9

Reorder the terms:
11 + -3a = 4 + 1 + -9 + a

Combine like terms: 4 + 1 = 5
11 + -3a = 5 + -9 + a

Combine like terms: 5 + -9 = -4
11 + -3a = -4 + a

Solving
11 + -3a = -4 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
11 + -3a + -1a = -4 + a + -1a

Combine like terms: -3a + -1a = -4a
11 + -4a = -4 + a + -1a

Combine like terms: a + -1a = 0
11 + -4a = -4 + 0
11 + -4a = -4

Add '-11' to each side of the equation.
11 + -11 + -4a = -4 + -11

Combine like terms: 11 + -11 = 0
0 + -4a = -4 + -11
-4a = -4 + -11

Combine like terms: -4 + -11 = -15
-4a = -15

Divide each side by '-4'.
a = 3.75

Simplifying
a = 3.75