What is the answer to 7-2/(x-4)=x ?

The answer to 7-2/(x-4)=x is x=6,x=5

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7-2/(x-4)=x

7 - \frac{2}{x - 4} = x

x = 6, x = 5

Solution steps

7 - \frac{2}{x - 4} = x

Multiply both sides by

x - 4

7 (x - 4) - 2 = x (x - 4)

Solve

7 (x - 4) - 2 = x (x - 4) : x = 6, x = 5

x = 6, x = 5

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 6, x = 5

\frac{5 a}{a + 2} = 0

\frac{x - 7}{x - 4} = \frac{x - 7}{x - 3} - 1

0.02 = \frac{0.5}{x}

\frac{10 - 7 x}{6 - 7 x} = \frac{5 x - 4}{5 x}

\frac{1}{x} = \frac{1}{x ( x + 1 )}