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 brackets 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 brackets 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 = 2
-2 + 2a = 2 + a + -1a

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

Solving
-2 + 2a = 2

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 = 2 + 2

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

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

Divide each side by '2'.
a = 2

Simplifying
a = 2

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