-(5-(a+1))=9-(5-(2a-3))

Solution for -(5-(a+1))=9-(5-(2a-3)) equation:

Simplifying
-1(5 + -1(a + 1)) = 9 + -1(5 + -1(2a + -3))

Reorder the terms:
-1(5 + -1(1 + a)) = 9 + -1(5 + -1(2a + -3))
-1(5 + (1 * -1 + a * -1)) = 9 + -1(5 + -1(2a + -3))
-1(5 + (-1 + -1a)) = 9 + -1(5 + -1(2a + -3))

Combine like terms: 5 + -1 = 4
-1(4 + -1a) = 9 + -1(5 + -1(2a + -3))
(4 * -1 + -1a * -1) = 9 + -1(5 + -1(2a + -3))
(-4 + 1a) = 9 + -1(5 + -1(2a + -3))

Reorder the terms:
-4 + 1a = 9 + -1(5 + -1(-3 + 2a))
-4 + 1a = 9 + -1(5 + (-3 * -1 + 2a * -1))
-4 + 1a = 9 + -1(5 + (3 + -2a))

Combine like terms: 5 + 3 = 8
-4 + 1a = 9 + -1(8 + -2a)
-4 + 1a = 9 + (8 * -1 + -2a * -1)
-4 + 1a = 9 + (-8 + 2a)

Combine like terms: 9 + -8 = 1
-4 + 1a = 1 + 2a

Solving
-4 + 1a = 1 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-4 + 1a + -2a = 1 + 2a + -2a

Combine like terms: 1a + -2a = -1a
-4 + -1a = 1 + 2a + -2a

Combine like terms: 2a + -2a = 0
-4 + -1a = 1 + 0
-4 + -1a = 1

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

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

Combine like terms: 1 + 4 = 5
-1a = 5

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

Simplifying
a = -5