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\frac{10+5}{5}-\frac{x^{2}}{-x}
Multiply 2 and 5 to get 10.
\frac{15}{5}-\frac{x^{2}}{-x}
Add 10 and 5 to get 15.
3-\frac{x^{2}}{-x}
Divide 15 by 5 to get 3.
\frac{3\left(-1\right)x}{-x}-\frac{x^{2}}{-x}
To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{-x}{-x}.
\frac{3\left(-1\right)x-x^{2}}{-x}
Since \frac{3\left(-1\right)x}{-x} and \frac{x^{2}}{-x} have the same denominator, subtract them by subtracting their numerators.
\frac{-3x-x^{2}}{-x}
Do the multiplications in 3\left(-1\right)x-x^{2}.
\frac{x\left(-x-3\right)}{-x}
Factor the expressions that are not already factored in \frac{-3x-x^{2}}{-x}.
\frac{-x-3}{-1}
Cancel out x in both numerator and denominator.
x+3
Anything divided by -1 gives its opposite. To find the opposite of -x-3, find the opposite of each term.
\frac{10+5}{5}-\frac{x^{2}}{-x}
Multiply 2 and 5 to get 10.
\frac{15}{5}-\frac{x^{2}}{-x}
Add 10 and 5 to get 15.
3-\frac{x^{2}}{-x}
Divide 15 by 5 to get 3.
\frac{3\left(-1\right)x}{-x}-\frac{x^{2}}{-x}
To add or subtract expressions, expand them to make their denominators the same. Multiply 3 times \frac{-x}{-x}.
\frac{3\left(-1\right)x-x^{2}}{-x}
Since \frac{3\left(-1\right)x}{-x} and \frac{x^{2}}{-x} have the same denominator, subtract them by subtracting their numerators.
\frac{-3x-x^{2}}{-x}
Do the multiplications in 3\left(-1\right)x-x^{2}.
\frac{x\left(-x-3\right)}{-x}
Factor the expressions that are not already factored in \frac{-3x-x^{2}}{-x}.
\frac{-x-3}{-1}
Cancel out x in both numerator and denominator.
x+3
Anything divided by -1 gives its opposite. To find the opposite of -x-3, find the opposite of each term.