What is the answer to 1/(x-4)+1=(14)/(x+2) ?

The answer to 1/(x-4)+1=(14)/(x+2) is x=10,x=5

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1/(x-4)+1=(14)/(x+2)

\frac{1}{x - 4} + 1 = \frac{14}{x + 2}

x = 10, x = 5

Solution steps

\frac{1}{x - 4} + 1 = \frac{14}{x + 2}

Multiply by LCM

x + 2 + (x - 4) (x + 2) = 14 (x - 4)

Solve

x + 2 + (x - 4) (x + 2) = 14 (x - 4) : x = 10, x = 5

x = 10, x = 5

Verify Solutions

Find undefined (singularity) points:

x = 4, x = - 2

Combine undefined points with solutions:

x = 10, x = 5

(\frac{2}{x + 1}) - 2 x = 5

0 = \frac{x + 1}{x - 1}

\frac{10}{n - 5} = \frac{9}{4}

- 8 = \frac{2}{y}

G (x) = \frac{x ^{2} - 4}{x - 2}

What is the answer to 1/(x-4)+1=(14)/(x+2) ?
The answer to 1/(x-4)+1=(14)/(x+2) is x=10,x=5
Solve for x: 1/(x-4)+1=(14)/(x+2)
The solution is x=10,x=5