Solve x(384/x-8+12)

$$x ( \frac { 384 } { x - 8 } + 12 )$$

Evaluate

$$\frac{12x\left(x+24\right)}{x-8}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 12 times \frac{x-8}{x-8}.

$$x\left(\frac{384}{x-8}+\frac{12\left(x-8\right)}{x-8}\right)$$

Since \frac{384}{x-8} and \frac{12\left(x-8\right)}{x-8} have the same denominator, add them by adding their numerators.

$$x\times \frac{384+12\left(x-8\right)}{x-8}$$

Do the multiplications in 384+12\left(x-8\right).

$$x\times \frac{384+12x-96}{x-8}$$

Combine like terms in 384+12x-96.

$$x\times \frac{288+12x}{x-8}$$

Express x\times \frac{288+12x}{x-8} as a single fraction.

$$\frac{x\left(288+12x\right)}{x-8}$$

Use the distributive property to multiply x by 288+12x.

$$\frac{288x+12x^{2}}{x-8}$$

Expand

$$\frac{12\left(x^{2}+24x\right)}{x-8}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 12 times \frac{x-8}{x-8}.

$$x\left(\frac{384}{x-8}+\frac{12\left(x-8\right)}{x-8}\right)$$

Since \frac{384}{x-8} and \frac{12\left(x-8\right)}{x-8} have the same denominator, add them by adding their numerators.

$$x\times \frac{384+12\left(x-8\right)}{x-8}$$

Do the multiplications in 384+12\left(x-8\right).

$$x\times \frac{384+12x-96}{x-8}$$

Combine like terms in 384+12x-96.

$$x\times \frac{288+12x}{x-8}$$

Express x\times \frac{288+12x}{x-8} as a single fraction.

$$\frac{x\left(288+12x\right)}{x-8}$$

Use the distributive property to multiply x by 288+12x.

$$\frac{288x+12x^{2}}{x-8}$$