What is the answer to 8-6/x =5+(12)/x ?

The answer to 8-6/x =5+(12)/x is x=6

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8-6/x =5+(12)/x

8 - \frac{6}{x} = 5 + \frac{12}{x}

x = 6

Solution steps

8 - \frac{6}{x} = 5 + \frac{12}{x}

Move

8

to the right side

- \frac{6}{x} = \frac{12}{x} - 3

Multiply both sides by

x

- 6 = 12 - 3 x

Switch sides

12 - 3 x = - 6

Move

12

to the right side

- 3 x = - 18

Divide both sides by

- 3

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6

\frac{1}{x} - \frac{1}{2 ( 9 - x )} = 0

y, x = \frac{1 - y}{9 - 12 y}

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

\frac{1}{x + 2} + 3 = 5

t, f = \frac{1}{t}