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

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Solution for a+(a-2)=(a+3)-(a-1) equation: 


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

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

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

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

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

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

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

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

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

Combine like terms: 3 + 1 = 4
-2 + 2a = 4 + a + -1a

Combine like terms: a + -1a = 0
-2 + 2a = 4 + 0
-2 + 2a = 4

Solving
-2 + 2a = 4

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 = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 2a = 4 + 2
2a = 4 + 2

Combine like terms: 4 + 2 = 6
2a = 6

Divide each side by '2'.
a = 3

Simplifying
a = 3

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