What is the answer to 1/(x-5)=(2+x)/(3x-3) ?

The answer to 1/(x-5)=(2+x)/(3x-3) is x=7,x=-1

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1/(x-5)=(2+x)/(3x-3)

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

x = 7, x = - 1

Solution steps

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

Cross multiply

3 x - 3 = (x - 5) (2 + x)

Solve

3 x - 3 = (x - 5) (2 + x) : x = 7, x = - 1

x = 7, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 5, x = 1

Combine undefined points with solutions:

x = 7, x = - 1

x + \frac{1}{x} = \frac{10}{3}

\frac{x}{1 - 3 x ^{6}} = 729

\frac{- 7}{9 - 20 p} = \frac{3}{4}

\frac{2}{w - 5} - \frac{5}{w - 5} = 3

\frac{x + 9}{x ^{2} - 81} = 1

What is the answer to 1/(x-5)=(2+x)/(3x-3) ?
The answer to 1/(x-5)=(2+x)/(3x-3) is x=7,x=-1
Solve for x: 1/(x-5)=(2+x)/(3x-3)
The solution is x=7,x=-1