What is the answer to x/(x-4)=7 ?

The answer to x/(x-4)=7 is x= 14/3

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x/(x-4)=7

\frac{x}{x - 4} = 7

x = \frac{14}{3}

Decimal Notation

x = 4.66666 \dots

Solution steps

\frac{x}{x - 4} = 7

Multiply both sides by

x - 4

x = 7 (x - 4)

Expand

7 (x - 4) : 7 x - 28

x = 7 x - 28

Move

7 x

to the left side

- 6 x = - 28

Divide both sides by

- 6

x = \frac{14}{3}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{14}{3}

\frac{6}{x} = \frac{10}{2}

0 = \frac{1}{x - 3} + 2

\frac{12.5}{x} = 2.5

0.319973953 = \frac{16}{x}

\frac{- 7}{x} = \frac{9}{3 x} + 10