.08x+(.08*(4x+182))=500.38

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Solution for .08x+(.08*(4x+182))=500.38 equation: 


Simplifying
0.08x + (0.08(4x + 182)) = 500.38

Reorder the terms:
0.08x + (0.08(182 + 4x)) = 500.38
0.08x + ((182 * 0.08 + 4x * 0.08)) = 500.38
0.08x + ((14.56 + 0.32x)) = 500.38
0.08x + (14.56 + 0.32x) = 500.38

Remove parenthesis around (14.56 + 0.32x)
0.08x + 14.56 + 0.32x = 500.38

Reorder the terms:
14.56 + 0.08x + 0.32x = 500.38

Combine like terms: 0.08x + 0.32x = 0.4x
14.56 + 0.4x = 500.38

Solving
14.56 + 0.4x = 500.38

Solving for variable 'x'.

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

Add '-14.56' to each side of the equation.
14.56 + -14.56 + 0.4x = 500.38 + -14.56

Combine like terms: 14.56 + -14.56 = 0.00
0.00 + 0.4x = 500.38 + -14.56
0.4x = 500.38 + -14.56

Combine like terms: 500.38 + -14.56 = 485.82
0.4x = 485.82

Divide each side by '0.4'.
x = 1214.55

Simplifying
x = 1214.55

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