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\frac{4\left(5x-3\right)}{12}+\frac{3\left(3x-8\right)}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 4 is 12. Multiply \frac{5x-3}{3} times \frac{4}{4}. Multiply \frac{3x-8}{4} times \frac{3}{3}.
\frac{4\left(5x-3\right)+3\left(3x-8\right)}{12}
Since \frac{4\left(5x-3\right)}{12} and \frac{3\left(3x-8\right)}{12} have the same denominator, add them by adding their numerators.
\frac{20x-12+9x-24}{12}
Do the multiplications in 4\left(5x-3\right)+3\left(3x-8\right).
\frac{29x-36}{12}
Combine like terms in 20x-12+9x-24.
\frac{4\left(5x-3\right)}{12}+\frac{3\left(3x-8\right)}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 4 is 12. Multiply \frac{5x-3}{3} times \frac{4}{4}. Multiply \frac{3x-8}{4} times \frac{3}{3}.
\frac{4\left(5x-3\right)+3\left(3x-8\right)}{12}
Since \frac{4\left(5x-3\right)}{12} and \frac{3\left(3x-8\right)}{12} have the same denominator, add them by adding their numerators.
\frac{20x-12+9x-24}{12}
Do the multiplications in 4\left(5x-3\right)+3\left(3x-8\right).
\frac{29x-36}{12}
Combine like terms in 20x-12+9x-24.