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\frac{4}{5}-\frac{7}{6x}
Divide \frac{1}{6} by \frac{x}{7} by multiplying \frac{1}{6} by the reciprocal of \frac{x}{7}.
\frac{4\times 6x}{30x}-\frac{7\times 5}{30x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 5 and 6x is 30x. Multiply \frac{4}{5} times \frac{6x}{6x}. Multiply \frac{7}{6x} times \frac{5}{5}.
\frac{4\times 6x-7\times 5}{30x}
Since \frac{4\times 6x}{30x} and \frac{7\times 5}{30x} have the same denominator, subtract them by subtracting their numerators.
\frac{24x-35}{30x}
Do the multiplications in 4\times 6x-7\times 5.