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

The answer to x/(x-6)+(x+2)/(x-6)=6 is x= 19/2

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

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

x = \frac{19}{2}

Decimal Notation

x = 9.5

Solution steps

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

Multiply both sides by

x - 6

2 x + 2 = 6 (x - 6)

Expand

6 (x - 6) : 6 x - 36

2 x + 2 = 6 x - 36

Move

2

to the right side

2 x = 6 x - 38

Move

6 x

to the left side

- 4 x = - 38

Divide both sides by

- 4

x = \frac{19}{2}

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = \frac{19}{2}

u, \frac{1}{u} + \frac{1}{v} = \frac{1}{f}

\frac{1}{x - 6} - \frac{6}{x ^{2} - 6 x} = - 9

\frac{1}{x} + \frac{1}{x + 5} = \frac{1}{10}

\frac{x}{x - 4} + 1 = \frac{6}{x - 4}

2 - \frac{15}{p} = - \frac{25}{p ^{2}}

What is the answer to x/(x-6)+(x+2)/(x-6)=6 ?
The answer to x/(x-6)+(x+2)/(x-6)=6 is x= 19/2
Solve for x: x/(x-6)+(x+2)/(x-6)=6
The solution is x= 19/2