21x(15+6a)=486

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Solution for 21x(15+6a)=486 equation: 


Simplifying
21x(15 + 6a) = 486
(15 * 21x + 6a * 21x) = 486

Reorder the terms:
(126ax + 315x) = 486
(126ax + 315x) = 486

Solving
126ax + 315x = 486

Solving for variable 'a'.

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

Add '-315x' to each side of the equation.
126ax + 315x + -315x = 486 + -315x

Combine like terms: 315x + -315x = 0
126ax + 0 = 486 + -315x
126ax = 486 + -315x

Divide each side by '126x'.
a = 3.857142857x-1 + -2.5

Simplifying
a = 3.857142857x-1 + -2.5

Reorder the terms:
a = -2.5 + 3.857142857x-1

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