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

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


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

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

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

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

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

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

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

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

Combine like terms: 5 + 2 = 7
-3 + 2a = 7 + a + -1a

Combine like terms: a + -1a = 0
-3 + 2a = 7 + 0
-3 + 2a = 7

Solving
-3 + 2a = 7

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + 3 + 2a = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 2a = 7 + 3
2a = 7 + 3

Combine like terms: 7 + 3 = 10
2a = 10

Divide each side by '2'.
a = 5

Simplifying
a = 5

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