What is the answer to 10-(19)/x =4+5/x ?

The answer to 10-(19)/x =4+5/x is x=4

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10-(19)/x =4+5/x

10 - \frac{19}{x} = 4 + \frac{5}{x}

x = 4

Solution steps

10 - \frac{19}{x} = 4 + \frac{5}{x}

Move

10

to the right side

- \frac{19}{x} = \frac{5}{x} - 6

Multiply both sides by

x

- 19 = 5 - 6 x

Switch sides

5 - 6 x = - 19

Move

5

to the right side

- 6 x = - 24

Divide both sides by

- 6

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4

\frac{1000 p - 10000}{1000 p} = 0.25

\frac{x}{x - 4} = 7

\frac{6}{x} = \frac{10}{2}

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

\frac{12.5}{x} = 2.5