What is the answer to 6/14 = 7/(x-3) ?

The answer to 6/14 = 7/(x-3) is x= 58/3

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6/14 = 7/(x-3)

\frac{6}{14} = \frac{7}{x - 3}

x = \frac{58}{3}

Decimal Notation

x = 19.33333 \dots

Solution steps

\frac{6}{14} = \frac{7}{x - 3}

Cross multiply

6 (x - 3) = 98

Divide both sides by

6

x - 3 = \frac{49}{3}

Move

3

to the right side

x = \frac{58}{3}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{58}{3}

\frac{3}{x} = \frac{15}{8 x} + 3

\frac{w + 14}{4 w + 6} = \frac{3}{4}

\frac{x ^{2} - 4}{x + 3} = 0

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

\frac{x - 5}{x + 4} = \frac{7}{6}