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

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

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

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

Remove parenthesis around (-4 + a)
a + -4 + a = (a + 5) + -1a + 1

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

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

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

Remove parenthesis around (5 + a)
-4 + 2a = 5 + a + -1a + 1

Reorder the terms:
-4 + 2a = 5 + 1 + a + -1a

Combine like terms: 5 + 1 = 6
-4 + 2a = 6 + a + -1a

Combine like terms: a + -1a = 0
-4 + 2a = 6 + 0
-4 + 2a = 6

Solving
-4 + 2a = 6

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + 2a = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 2a = 6 + 4
2a = 6 + 4

Combine like terms: 6 + 4 = 10
2a = 10

Divide each side by '2'.
a = 5

Simplifying
a = 5