What is the answer to 7+2/(x-8)=x ?

The answer to 7+2/(x-8)=x is x=9,x=6

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7+2/(x-8)=x

7 + \frac{2}{x - 8} = x

x = 9, x = 6

Solution steps

7 + \frac{2}{x - 8} = x

Multiply both sides by

x - 8

7 (x - 8) + 2 = x (x - 8)

Solve

7 (x - 8) + 2 = x (x - 8) : x = 9, x = 6

x = 9, x = 6

Verify Solutions

Find undefined (singularity) points:

x = 8

Combine undefined points with solutions:

x = 9, x = 6

\frac{1}{( x - 2 ) ^{2}} - \frac{12}{x - 2} + 35 = 0

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

\frac{5}{2} + \frac{1}{5} = \frac{1}{x}

\frac{4 x + 3}{1 - 2 x} = \frac{3}{8}

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