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

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


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

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

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

Combine like terms: a + -1a = 0
2 + 0 = (a + 5) + -1(a + 3)
2 = (a + 5) + -1(a + 3)

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

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

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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