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\frac{3x-7}{12}-\frac{2\left(x-12\right)}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 12 and 6 is 12. Multiply \frac{x-12}{6} times \frac{2}{2}.
\frac{3x-7-2\left(x-12\right)}{12}
Since \frac{3x-7}{12} and \frac{2\left(x-12\right)}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{3x-7-2x+24}{12}
Do the multiplications in 3x-7-2\left(x-12\right).
\frac{x+17}{12}
Combine like terms in 3x-7-2x+24.
\frac{3x-7}{12}-\frac{2\left(x-12\right)}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 12 and 6 is 12. Multiply \frac{x-12}{6} times \frac{2}{2}.
\frac{3x-7-2\left(x-12\right)}{12}
Since \frac{3x-7}{12} and \frac{2\left(x-12\right)}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{3x-7-2x+24}{12}
Do the multiplications in 3x-7-2\left(x-12\right).
\frac{x+17}{12}
Combine like terms in 3x-7-2x+24.