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

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

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

Combine like terms: 9 + -3 = 6
a + (6) = (9 + 5) + -1(a + 2)
a + 6 = (9 + 5) + -1(a + 2)

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

Combine like terms: 9 + 5 = 14
6 + a = (14) + -1(a + 2)
6 + a = 14 + -1(a + 2)

Reorder the terms:
6 + a = 14 + -1(2 + a)
6 + a = 14 + (2 * -1 + a * -1)
6 + a = 14 + (-2 + -1a)

Combine like terms: 14 + -2 = 12
6 + a = 12 + -1a

Solving
6 + a = 12 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
6 + a + a = 12 + -1a + a

Combine like terms: a + a = 2a
6 + 2a = 12 + -1a + a

Combine like terms: -1a + a = 0
6 + 2a = 12 + 0
6 + 2a = 12

Add '-6' to each side of the equation.
6 + -6 + 2a = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = 12 + -6
2a = 12 + -6

Combine like terms: 12 + -6 = 6
2a = 6

Divide each side by '2'.
a = 3

Simplifying
a = 3