What is the answer to (7x)/((1-x))=500 ?

The answer to (7x)/((1-x))=500 is x= 500/507

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(7x)/((1-x))=500

\frac{7 x}{( 1 - x )} = 500

x = \frac{500}{507}

Decimal Notation

x = 0.98619 \dots

Solution steps

\frac{7 x}{( 1 - x )} = 500

Simplify

\frac{7 x}{( 1 - x )} : \frac{7 x}{1 - x}

\frac{7 x}{1 - x} = 500

Multiply both sides by

1 - x

7 x = 500 (1 - x)

Expand

500 (1 - x) : 500 - 500 x

7 x = 500 - 500 x

Move

500 x

to the left side

507 x = 500

Divide both sides by

507

x = \frac{500}{507}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{500}{507}

\frac{1}{3} = \frac{x}{x - 3}

\frac{6}{x} = 1

\frac{6}{x} = 4

\frac{4}{32} = \frac{2}{x}

\frac{6}{x} = 5

What is the answer to (7x)/((1-x))=500 ?
The answer to (7x)/((1-x))=500 is x= 500/507
Solve for x: (7x)/((1-x))=500
The solution is x= 500/507