What is the answer to 2-5/x =(10)/x-1 ?

The answer to 2-5/x =(10)/x-1 is x=5

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2-5/x =(10)/x-1

2 - \frac{5}{x} = \frac{10}{x} - 1

x = 5

Solution steps

2 - \frac{5}{x} = \frac{10}{x} - 1

Move

2

to the right side

- \frac{5}{x} = \frac{10}{x} - 3

Multiply both sides by

x

- 5 = 10 - 3 x

Switch sides

10 - 3 x = - 5

Move

10

to the right side

- 3 x = - 15

Divide both sides by

- 3

x = 5

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5

\frac{∣ x + 1 ∣}{x - 2} = 0

\frac{1}{x} = \frac{4}{x - 9}

\frac{2}{5 x - 1} = - \frac{3}{4}

\frac{36}{8} = \frac{9}{h}

A, h^{3} + \frac{g}{A} = m