Evaluate
\frac{3x-59}{8\left(x+7\right)}
Factor
\frac{3x-59}{8\left(x+7\right)}
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\frac{3\left(x+7\right)}{8\left(x+7\right)}-\frac{10\times 8}{8\left(x+7\right)}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 8 and x+7 is 8\left(x+7\right). Multiply \frac{3}{8} times \frac{x+7}{x+7}. Multiply \frac{10}{x+7} times \frac{8}{8}.
\frac{3\left(x+7\right)-10\times 8}{8\left(x+7\right)}
Since \frac{3\left(x+7\right)}{8\left(x+7\right)} and \frac{10\times 8}{8\left(x+7\right)} have the same denominator, subtract them by subtracting their numerators.
\frac{3x+21-80}{8\left(x+7\right)}
Do the multiplications in 3\left(x+7\right)-10\times 8.
\frac{3x-59}{8\left(x+7\right)}
Combine like terms in 3x+21-80.
\frac{3x-59}{8x+56}
Expand 8\left(x+7\right).
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Limits
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