What is the answer to 2x-7/(x-6)=x ?

The answer to 2x-7/(x-6)=x is x=7,x=-1

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2x-7/(x-6)=x

2 x - \frac{7}{x - 6} = x

x = 7, x = - 1

Solution steps

2 x - \frac{7}{x - 6} = x

Multiply both sides by

x - 6

2 x (x - 6) - 7 = x (x - 6)

Solve

2 x (x - 6) - 7 = x (x - 6) : x = 7, x = - 1

x = 7, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = 7, x = - 1

g, c = \frac{d}{g}

\frac{3 - 5 x}{x - 1} = x^{2} + 2 x - 3

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

\frac{x ^{2}}{x - 10} = \frac{100}{x - 10} - 10

x - \frac{3 x + 5}{x - 10} = 5