Combine like terms:

$$ \color{blue}{2x} \color{blue}{-7x} = \color{blue}{-5x} $$

Multiply $ \dfrac{30}{x} $ by $ 2 $ to get $ \dfrac{ 60 }{ x } $.

Step 1: Write $ 2 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: Multiply numerators and denominators.

Step 3: Simplify numerator and denominator.

$$ \begin{aligned} \frac{30}{x} \cdot 2 & \xlongequal{\text{Step 1}} \frac{30}{x} \cdot \frac{2}{\color{red}{1}} \xlongequal{\text{Step 2}} \frac{ 30 \cdot 2 }{ x \cdot 1 } = \\[1ex] & \xlongequal{\text{Step 3}} \frac{ 60 }{ x } \end{aligned} $$

Subtract $ \dfrac{60}{x} $ from $ -5x $ to get $ \dfrac{ \color{purple}{ -5x^2-60 } }{ x }$.

Step 1: Write $ -5x $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: To subtract raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the first fraction by $\color{blue}{ x }$.

$$ \begin{aligned} -5x- \frac{60}{x} & \xlongequal{\text{Step 1}} \frac{-5x}{\color{red}{1}} - \frac{60}{x} = \frac{ \left( -5x \right) \cdot \color{blue}{ x }}{ 1 \cdot \color{blue}{ x }} - \frac{ 60 }{ x } = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ -5x^2 } }{ x } - \frac{ \color{purple}{ 60 } }{ x }=\frac{ \color{purple}{ -5x^2-60 } }{ x } \end{aligned} $$

Subtract $5x$ from $ \dfrac{-5x^2-60}{x} $ to get $ \dfrac{ \color{purple}{ -10x^2-60 } }{ x }$.

Step 1: Write $ 5x $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: To subtract raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the second fraction by $\color{blue}{x}$.

$$ \begin{aligned} \frac{-5x^2-60}{x} -5x & \xlongequal{\text{Step 1}} \frac{-5x^2-60}{x} - \frac{5x}{\color{red}{1}} = \frac{ -5x^2-60 }{ x } - \frac{ 5x \cdot \color{blue}{ x }}{ 1 \cdot \color{blue}{ x }} = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ -5x^2-60 } }{ x } - \frac{ \color{purple}{ 5x^2 } }{ x }=\frac{ \color{purple}{ -10x^2-60 } }{ x } \end{aligned} $$

Subtract $24$ from $ \dfrac{-10x^2-60}{x} $ to get $ \dfrac{ \color{purple}{ -10x^2-24x-60 } }{ x }$.

Step 1: Write $ 24 $ as a fraction by putting $ \color{red}{ 1 } $ in the denominator.

Step 2: To subtract raitonal expressions, both fractions must have the same denominator.
We can create a common denominator by multiplying the second fraction by $\color{blue}{x}$.

$$ \begin{aligned} \frac{-10x^2-60}{x} -24 & \xlongequal{\text{Step 1}} \frac{-10x^2-60}{x} - \frac{24}{\color{red}{1}} = \frac{ -10x^2-60 }{ x } - \frac{ 24 \cdot \color{blue}{ x }}{ 1 \cdot \color{blue}{ x }} = \\[1ex] & \xlongequal{\text{Step 2}} \frac{ \color{purple}{ -10x^2-60 } }{ x } - \frac{ \color{purple}{ 24x } }{ x }=\frac{ \color{purple}{ -10x^2-24x-60 } }{ x } \end{aligned} $$