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

The answer to x-7/(x-8)=2x is x=1,x=7

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

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

x = 1, x = 7

Solution steps

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

Multiply both sides by

x - 8

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

Solve

x (x - 8) - 7 = 2 x (x - 8) : x = 1, x = 7

x = 1, x = 7

Verify Solutions

Find undefined (singularity) points:

x = 8

Combine undefined points with solutions:

x = 1, x = 7

\frac{x + 3}{3} + \frac{5}{x - 4} = 5

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

\frac{3}{x} + 6 = x

x, z = \frac{x y}{x ^{2} + y ^{2}}

\frac{x ^{2} + a x + 3 x + a + 2}{x + 1}