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

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

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

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

Remove parenthesis around (3 + a)
a + 3 + a = (a + 5) + -1(a + 2)

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

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

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

Remove parenthesis around (5 + a)
3 + 2a = 5 + a + -1(a + 2)

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

Reorder the terms:
3 + 2a = 5 + -2 + a + -1a

Combine like terms: 5 + -2 = 3
3 + 2a = 3 + a + -1a

Combine like terms: a + -1a = 0
3 + 2a = 3 + 0
3 + 2a = 3

Add '-3' to each side of the equation.
3 + -3 + 2a = 3 + -3

Combine like terms: 3 + -3 = 0
0 + 2a = 3 + -3
2a = 3 + -3

Combine like terms: 3 + -3 = 0
2a = 0

Solving
2a = 0

Solving for variable 'a'.

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

Divide each side by '2'.
a = 0

Simplifying
a = 0