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) + -1a + 3

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

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

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

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

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

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

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

Combine like terms: 5 + 3 = 8
-2 + 2a = 8 + a + -1a

Combine like terms: a + -1a = 0
-2 + 2a = 8 + 0
-2 + 2a = 8

Solving
-2 + 2a = 8

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 = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 2a = 8 + 2
2a = 8 + 2

Combine like terms: 8 + 2 = 10
2a = 10

Divide each side by '2'.
a = 5

Simplifying
a = 5

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