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\frac{2\left(5x+3\right)}{4x-2}+3
Express 2\times \frac{5x+3}{4x-2} as a single fraction.
\frac{2\left(5x+3\right)}{2\left(2x-1\right)}+3
Factor 4x-2.
\frac{2\left(5x+3\right)}{2\left(2x-1\right)}+\frac{3\times 2\left(2x-1\right)}{2\left(2x-1\right)}
To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{2\left(2x-1\right)}{2\left(2x-1\right)}.
\frac{2\left(5x+3\right)+3\times 2\left(2x-1\right)}{2\left(2x-1\right)}
Since \frac{2\left(5x+3\right)}{2\left(2x-1\right)} and \frac{3\times 2\left(2x-1\right)}{2\left(2x-1\right)} have the same denominator, add them by adding their numerators.
\frac{10x+6+12x-6}{2\left(2x-1\right)}
Do the multiplications in 2\left(5x+3\right)+3\times 2\left(2x-1\right).
\frac{22x}{2\left(2x-1\right)}
Combine like terms in 10x+6+12x-6.
\frac{11x}{2x-1}
Cancel out 2 in both numerator and denominator.
\frac{2\left(5x+3\right)}{4x-2}+3
Express 2\times \frac{5x+3}{4x-2} as a single fraction.
\frac{2\left(5x+3\right)}{2\left(2x-1\right)}+3
Factor 4x-2.
\frac{2\left(5x+3\right)}{2\left(2x-1\right)}+\frac{3\times 2\left(2x-1\right)}{2\left(2x-1\right)}
To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{2\left(2x-1\right)}{2\left(2x-1\right)}.
\frac{2\left(5x+3\right)+3\times 2\left(2x-1\right)}{2\left(2x-1\right)}
Since \frac{2\left(5x+3\right)}{2\left(2x-1\right)} and \frac{3\times 2\left(2x-1\right)}{2\left(2x-1\right)} have the same denominator, add them by adding their numerators.
\frac{10x+6+12x-6}{2\left(2x-1\right)}
Do the multiplications in 2\left(5x+3\right)+3\times 2\left(2x-1\right).
\frac{22x}{2\left(2x-1\right)}
Combine like terms in 10x+6+12x-6.
\frac{11x}{2x-1}
Cancel out 2 in both numerator and denominator.