What is the answer to 6/(x-14)= 8/2 ?

The answer to 6/(x-14)= 8/2 is x= 31/2

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6/(x-14)= 8/2

\frac{6}{x - 14} = \frac{8}{2}

x = \frac{31}{2}

Decimal Notation

x = 15.5

Solution steps

\frac{6}{x - 14} = \frac{8}{2}

Cross multiply

12 = (x - 14) \cdot 8

Switch sides

(x - 14) \cdot 8 = 12

Divide both sides by

8

x - 14 = \frac{3}{2}

Move

14

to the right side

x = \frac{31}{2}

Verify Solutions

Find undefined (singularity) points:

x = 14

Combine undefined points with solutions:

x = \frac{31}{2}

- \frac{7}{x - 1} + 4 x = - \frac{7 x}{x - 1}

\frac{7}{15} = \frac{42}{n}

\frac{1}{x + 4} + \frac{8}{x ^{2} - 16} = 1

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

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