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\frac{2\left(x-3\right)}{8}-\frac{x+2}{8}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 8 is 8. Multiply \frac{x-3}{4} times \frac{2}{2}.
\frac{2\left(x-3\right)-\left(x+2\right)}{8}
Since \frac{2\left(x-3\right)}{8} and \frac{x+2}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{2x-6-x-2}{8}
Do the multiplications in 2\left(x-3\right)-\left(x+2\right).
\frac{x-8}{8}
Combine like terms in 2x-6-x-2.
\frac{2\left(x-3\right)}{8}-\frac{x+2}{8}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 8 is 8. Multiply \frac{x-3}{4} times \frac{2}{2}.
\frac{2\left(x-3\right)-\left(x+2\right)}{8}
Since \frac{2\left(x-3\right)}{8} and \frac{x+2}{8} have the same denominator, subtract them by subtracting their numerators.
\frac{2x-6-x-2}{8}
Do the multiplications in 2\left(x-3\right)-\left(x+2\right).
\frac{x-8}{8}
Combine like terms in 2x-6-x-2.