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\frac{3\left(x-1\right)}{12}+\frac{2\left(2x-3\right)}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 6 is 12. Multiply \frac{x-1}{4} times \frac{3}{3}. Multiply \frac{2x-3}{6} times \frac{2}{2}.
\frac{3\left(x-1\right)+2\left(2x-3\right)}{12}
Since \frac{3\left(x-1\right)}{12} and \frac{2\left(2x-3\right)}{12} have the same denominator, add them by adding their numerators.
\frac{3x-3+4x-6}{12}
Do the multiplications in 3\left(x-1\right)+2\left(2x-3\right).
\frac{7x-9}{12}
Combine like terms in 3x-3+4x-6.
\frac{3\left(x-1\right)}{12}+\frac{2\left(2x-3\right)}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 6 is 12. Multiply \frac{x-1}{4} times \frac{3}{3}. Multiply \frac{2x-3}{6} times \frac{2}{2}.
\frac{3\left(x-1\right)+2\left(2x-3\right)}{12}
Since \frac{3\left(x-1\right)}{12} and \frac{2\left(2x-3\right)}{12} have the same denominator, add them by adding their numerators.
\frac{3x-3+4x-6}{12}
Do the multiplications in 3\left(x-1\right)+2\left(2x-3\right).
\frac{7x-9}{12}
Combine like terms in 3x-3+4x-6.