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

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


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

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

Remove parenthesis around (-3 + a)
a + -3 + a = (a + 5) + -1(9 + 2)

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

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

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

Remove parenthesis around (5 + a)
-3 + 2a = 5 + a + -1(9 + 2)

Combine like terms: 9 + 2 = 11
-3 + 2a = 5 + a + -1(11)

Multiply -1 * 11
-3 + 2a = 5 + a + -11

Reorder the terms:
-3 + 2a = 5 + -11 + a

Combine like terms: 5 + -11 = -6
-3 + 2a = -6 + a

Solving
-3 + 2a = -6 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-3 + 2a + -1a = -6 + a + -1a

Combine like terms: 2a + -1a = 1a
-3 + 1a = -6 + a + -1a

Combine like terms: a + -1a = 0
-3 + 1a = -6 + 0
-3 + 1a = -6

Add '3' to each side of the equation.
-3 + 3 + 1a = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 1a = -6 + 3
1a = -6 + 3

Combine like terms: -6 + 3 = -3
1a = -3

Divide each side by '1'.
a = -3

Simplifying
a = -3

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