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\frac{\left(2x-1\right)\times 5x}{20x}+\frac{2\left(2-3x\right)}{20x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 10x is 20x. Multiply \frac{2x-1}{4} times \frac{5x}{5x}. Multiply \frac{2-3x}{10x} times \frac{2}{2}.
\frac{\left(2x-1\right)\times 5x+2\left(2-3x\right)}{20x}
Since \frac{\left(2x-1\right)\times 5x}{20x} and \frac{2\left(2-3x\right)}{20x} have the same denominator, add them by adding their numerators.
\frac{10x^{2}-5x+4-6x}{20x}
Do the multiplications in \left(2x-1\right)\times 5x+2\left(2-3x\right).
\frac{10x^{2}-11x+4}{20x}
Combine like terms in 10x^{2}-5x+4-6x.
\frac{\left(2x-1\right)\times 5x}{20x}+\frac{2\left(2-3x\right)}{20x}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 10x is 20x. Multiply \frac{2x-1}{4} times \frac{5x}{5x}. Multiply \frac{2-3x}{10x} times \frac{2}{2}.
\frac{\left(2x-1\right)\times 5x+2\left(2-3x\right)}{20x}
Since \frac{\left(2x-1\right)\times 5x}{20x} and \frac{2\left(2-3x\right)}{20x} have the same denominator, add them by adding their numerators.
\frac{10x^{2}-5x+4-6x}{20x}
Do the multiplications in \left(2x-1\right)\times 5x+2\left(2-3x\right).
\frac{10x^{2}-11x+4}{20x}
Combine like terms in 10x^{2}-5x+4-6x.