[a-4]+2[a+1]=10-5a

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Solution for [a-4]+2[a+1]=10-5a equation:


Simplifying
[a + -4] + 2[a + 1] = 10 + -5a

Reorder the terms:
[-4 + a] + 2[a + 1] = 10 + -5a

Remove brackets around [-4 + a]
-4 + a + 2[a + 1] = 10 + -5a

Reorder the terms:
-4 + a + 2[1 + a] = 10 + -5a
-4 + a + [1 * 2 + a * 2] = 10 + -5a
-4 + a + [2 + 2a] = 10 + -5a

Reorder the terms:
-4 + 2 + a + 2a = 10 + -5a

Combine like terms: -4 + 2 = -2
-2 + a + 2a = 10 + -5a

Combine like terms: a + 2a = 3a
-2 + 3a = 10 + -5a

Solving
-2 + 3a = 10 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
-2 + 3a + 5a = 10 + -5a + 5a

Combine like terms: 3a + 5a = 8a
-2 + 8a = 10 + -5a + 5a

Combine like terms: -5a + 5a = 0
-2 + 8a = 10 + 0
-2 + 8a = 10

Add '2' to each side of the equation.
-2 + 2 + 8a = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 8a = 10 + 2
8a = 10 + 2

Combine like terms: 10 + 2 = 12
8a = 12

Divide each side by '8'.
a = 1.5

Simplifying
a = 1.5

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