What is the answer to x/(x-4)=6 ?

The answer to x/(x-4)=6 is x= 24/5

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x/(x-4)=6

\frac{x}{x - 4} = 6

x = \frac{24}{5}

Solution steps

\frac{x}{x - 4} = 6

Multiply both sides by

x - 4

x = 6 (x - 4)

Expand

6 (x - 4) : 6 x - 24

x = 6 x - 24

Move

6 x

to the left side

- 5 x = - 24

Divide both sides by

- 5

x = \frac{24}{5}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{24}{5}

\frac{( a x + b )}{c x + d} = 9

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

\frac{3}{x - 3} = 5 + \frac{x}{x - 3}

- \frac{1}{x} = 0

\frac{10}{x} = \frac{1}{2 x} + 38