What is the answer to (2x)/(500-x)=sqrt(54.3) ?

The answer to (2x)/(500-x)=sqrt(54.3) is x=393.26335…

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(2x)/(500-x)=sqrt(54.3)

\frac{2 x}{500 - x} = 54.3

x = 393.26335 \dots

Solution steps

\frac{2 x}{500 - x} = 54.3

Multiply both sides by

500 - x

2 x = 54.3 (500 - x)

Expand

54.3 (500 - x) : 3684.42668 \dots - 7.36885 \dots x

2 x = 3684.42668 \dots - 7.36885 \dots x

Move

7.36885 \dots x

to the left side

9.36885 \dots x = 3684.42668 \dots

Divide both sides by

9.36885 \dots

x = 393.26335 \dots

Verify Solutions

Find undefined (singularity) points:

x = 500

Combine undefined points with solutions:

x = 393.26335 \dots

\frac{x}{x} = x

1 - \frac{4}{x + 9} = \frac{7}{x}

\frac{3 x - 2}{4 x + 7} = 64

\frac{25}{x} \cdot 1 = 0.2

\frac{1 - x ^{2}}{x} = 0

What is the answer to (2x)/(500-x)=sqrt(54.3) ?
The answer to (2x)/(500-x)=sqrt(54.3) is x=393.26335…
Solve for x: (2x)/(500-x)=sqrt(54.3)
The solution is x=393.26335…