(4a+16)-(a-4)=x

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Solution for (4a+16)-(a-4)=x equation:


Simplifying
(4a + 16) + -1(a + -4) = x

Reorder the terms:
(16 + 4a) + -1(a + -4) = x

Remove parenthesis around (16 + 4a)
16 + 4a + -1(a + -4) = x

Reorder the terms:
16 + 4a + -1(-4 + a) = x
16 + 4a + (-4 * -1 + a * -1) = x
16 + 4a + (4 + -1a) = x

Reorder the terms:
16 + 4 + 4a + -1a = x

Combine like terms: 16 + 4 = 20
20 + 4a + -1a = x

Combine like terms: 4a + -1a = 3a
20 + 3a = x

Solving
20 + 3a = x

Solving for variable 'a'.

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

Add '-20' to each side of the equation.
20 + -20 + 3a = -20 + x

Combine like terms: 20 + -20 = 0
0 + 3a = -20 + x
3a = -20 + x

Divide each side by '3'.
a = -6.666666667 + 0.3333333333x

Simplifying
a = -6.666666667 + 0.3333333333x

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