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\frac{5\times 2x}{15}-\frac{3\times 3\left(x-2\right)}{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}{3} times \frac{5}{5}. Multiply \frac{3\left(x-2\right)}{5} times \frac{3}{3}.
\frac{5\times 2x-3\times 3\left(x-2\right)}{15}
Since \frac{5\times 2x}{15} and \frac{3\times 3\left(x-2\right)}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{10x-9x+18}{15}
Do the multiplications in 5\times 2x-3\times 3\left(x-2\right).
\frac{x+18}{15}
Combine like terms in 10x-9x+18.
\frac{5\times 2x}{15}-\frac{3\times 3\left(x-2\right)}{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}{3} times \frac{5}{5}. Multiply \frac{3\left(x-2\right)}{5} times \frac{3}{3}.
\frac{5\times 2x-3\times 3\left(x-2\right)}{15}
Since \frac{5\times 2x}{15} and \frac{3\times 3\left(x-2\right)}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{10x-9x+18}{15}
Do the multiplications in 5\times 2x-3\times 3\left(x-2\right).
\frac{x+18}{15}
Combine like terms in 10x-9x+18.