What is the answer to 12-(25)/x =4+7/x ?

The answer to 12-(25)/x =4+7/x is x=4

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12-(25)/x =4+7/x

12 - \frac{25}{x} = 4 + \frac{7}{x}

x = 4

Solution steps

12 - \frac{25}{x} = 4 + \frac{7}{x}

Move

12

to the right side

- \frac{25}{x} = \frac{7}{x} - 8

Multiply both sides by

x

- 25 = 7 - 8 x

Switch sides

7 - 8 x = - 25

Move

7

to the right side

- 8 x = - 32

Divide both sides by

- 8

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4

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

\frac{a + 4}{5 + a} = 1

(\frac{6}{y})^{2} + y^{2} = 13

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

\frac{2 x}{x + 4} = 5 - \frac{8}{x + 4}