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\frac{7}{x-1}
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\frac{7}{x-1}
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\frac{x+3-\left(x-4\right)}{x-1}
Since \frac{x+3}{x-1} and \frac{x-4}{x-1} have the same denominator, subtract them by subtracting their numerators.
\frac{x+3-x+4}{x-1}
Do the multiplications in x+3-\left(x-4\right).
\frac{7}{x-1}
Combine like terms in x+3-x+4.
\frac{x+3-\left(x-4\right)}{x-1}
Since \frac{x+3}{x-1} and \frac{x-4}{x-1} have the same denominator, subtract them by subtracting their numerators.
\frac{x+3-x+4}{x-1}
Do the multiplications in x+3-\left(x-4\right).
\frac{7}{x-1}
Combine like terms in x+3-x+4.
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