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

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


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

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

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

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

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

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

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

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

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

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

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

Solving
-2 + 2a = 2

Solving for variable 'a'.

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

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

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

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

Divide each side by '2'.
a = 2

Simplifying
a = 2

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