4+(a-2)=(a+3)-(a+1)

Solution for 4+(a-2)=(a+3)-(a+1) equation:

Simplifying
4 + (a + -2) = (a + 3) + -1(a + 1)

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

Remove parenthesis around (-2 + a)
4 + -2 + a = (a + 3) + -1(a + 1)

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

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

Remove parenthesis around (3 + a)
2 + a = 3 + a + -1(a + 1)

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

Reorder the terms:
2 + a = 3 + -1 + a + -1a

Combine like terms: 3 + -1 = 2
2 + a = 2 + a + -1a

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

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

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

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

Solving
a = 0

Solving for variable 'a'.

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

Simplifying
a = 0