509.04=.5(12.12*x)

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Solution for 509.04=.5(12.12*x) equation:


Simplifying
509.04 = 0.5(12.12x)

Remove parenthesis around (12.12x)
509.04 = 0.5 * 12.12x

Multiply 0.5 * 12.12
509.04 = 6.06x

Solving
509.04 = 6.06x

Solving for variable 'x'.

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

Add '-6.06x' to each side of the equation.
509.04 + -6.06x = 6.06x + -6.06x

Combine like terms: 6.06x + -6.06x = 0.00
509.04 + -6.06x = 0.00

Add '-509.04' to each side of the equation.
509.04 + -509.04 + -6.06x = 0.00 + -509.04

Combine like terms: 509.04 + -509.04 = 0.00
0.00 + -6.06x = 0.00 + -509.04
-6.06x = 0.00 + -509.04

Combine like terms: 0.00 + -509.04 = -509.04
-6.06x = -509.04

Divide each side by '-6.06'.
x = 84

Simplifying
x = 84

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