What is the answer to 6-(x+1)/(x-2)= 6/x ?

The answer to 6-(x+1)/(x-2)= 6/x is x=3,x= 4/5

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6-(x+1)/(x-2)= 6/x

6 - \frac{x + 1}{x - 2} = \frac{6}{x}

x = 3, x = \frac{4}{5}

Decimal Notation

x = 3, x = 0.8

Solution steps

6 - \frac{x + 1}{x - 2} = \frac{6}{x}

Multiply by LCM

6 x (x - 2) - x (x + 1) = 6 (x - 2)

Solve

6 x (x - 2) - x (x + 1) = 6 (x - 2) : x = 3, x = \frac{4}{5}

x = 3, x = \frac{4}{5}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Combine undefined points with solutions:

x = 3, x = \frac{4}{5}

\frac{2}{x} - \frac{9}{x - 4} + 2 = 0

- \frac{2}{4 x} = \frac{5}{3}

\frac{8}{y - 2} = 2

\frac{1}{x - 1} - 3 = (x - 1)^{3} - 3

\frac{12}{x + 1} = \frac{9}{x - 6}

What is the answer to 6-(x+1)/(x-2)= 6/x ?
The answer to 6-(x+1)/(x-2)= 6/x is x=3,x= 4/5
Solve for x: 6-(x+1)/(x-2)= 6/x
The solution is x=3,x= 4/5