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\frac{5\left(2x-1\right)}{15}-\frac{3\times 2x}{15}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 5 is 15. Multiply \frac{2x-1}{3} times \frac{5}{5}. Multiply \frac{2x}{5} times \frac{3}{3}.
\frac{5\left(2x-1\right)-3\times 2x}{15}
Since \frac{5\left(2x-1\right)}{15} and \frac{3\times 2x}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{10x-5-6x}{15}
Do the multiplications in 5\left(2x-1\right)-3\times 2x.
\frac{4x-5}{15}
Combine like terms in 10x-5-6x.
\frac{5\left(2x-1\right)}{15}-\frac{3\times 2x}{15}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 5 is 15. Multiply \frac{2x-1}{3} times \frac{5}{5}. Multiply \frac{2x}{5} times \frac{3}{3}.
\frac{5\left(2x-1\right)-3\times 2x}{15}
Since \frac{5\left(2x-1\right)}{15} and \frac{3\times 2x}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{10x-5-6x}{15}
Do the multiplications in 5\left(2x-1\right)-3\times 2x.
\frac{4x-5}{15}
Combine like terms in 10x-5-6x.