Evaluate
\frac{10kx+3x+21}{2x\left(x+7\right)}
Factor
\frac{10kx+3x+21}{2x\left(x+7\right)}
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\frac{3}{2x}+\frac{5k}{x+7}
Express \frac{5}{x+7}k as a single fraction.
\frac{3\left(x+7\right)}{2x\left(x+7\right)}+\frac{5k\times 2x}{2x\left(x+7\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2x and x+7 is 2x\left(x+7\right). Multiply \frac{3}{2x} times \frac{x+7}{x+7}. Multiply \frac{5k}{x+7} times \frac{2x}{2x}.
\frac{3\left(x+7\right)+5k\times 2x}{2x\left(x+7\right)}
Since \frac{3\left(x+7\right)}{2x\left(x+7\right)} and \frac{5k\times 2x}{2x\left(x+7\right)} have the same denominator, add them by adding their numerators.
\frac{3x+21+10kx}{2x\left(x+7\right)}
Do the multiplications in 3\left(x+7\right)+5k\times 2x.
\frac{3x+21+10kx}{2x^{2}+14x}
Expand 2x\left(x+7\right).
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