a+[a-4]=[a+5]-[a+1]

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Solution for a+[a-4]=[a+5]-[a+1] equation:


Simplifying
a + [a + -4] = [a + 5] + -1[a + 1]

Reorder the terms:
a + [-4 + a] = [a + 5] + -1[a + 1]

Remove brackets around [-4 + a]
a + -4 + a = [a + 5] + -1[a + 1]

Reorder the terms:
-4 + a + a = [a + 5] + -1[a + 1]

Combine like terms: a + a = 2a
-4 + 2a = [a + 5] + -1[a + 1]

Reorder the terms:
-4 + 2a = [5 + a] + -1[a + 1]

Remove brackets around [5 + a]
-4 + 2a = 5 + a + -1[a + 1]

Reorder the terms:
-4 + 2a = 5 + a + -1[1 + a]
-4 + 2a = 5 + a + [1 * -1 + a * -1]
-4 + 2a = 5 + a + [-1 + -1a]

Reorder the terms:
-4 + 2a = 5 + -1 + a + -1a

Combine like terms: 5 + -1 = 4
-4 + 2a = 4 + a + -1a

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

Solving
-4 + 2a = 4

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 4 + 2a = 4 + 4

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

Combine like terms: 4 + 4 = 8
2a = 8

Divide each side by '2'.
a = 4

Simplifying
a = 4

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