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

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


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

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

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

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

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

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

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

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

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

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

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

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

Solving
-3 + 3a = 3

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 + 3a = 3 + 3

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

Combine like terms: 3 + 3 = 6
3a = 6

Divide each side by '3'.
a = 2

Simplifying
a = 2

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