Solve x-8a/4ax-1/8x=

$$\frac { x - 8 a } { 4 a x } - \frac { 1 } { 8 x } =$$

Evaluate

$$\frac{2x-17a}{8ax}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4ax and 8x is 8ax. Multiply \frac{x-8a}{4ax} times \frac{2}{2}. Multiply \frac{1}{8x} times \frac{a}{a}.

$$\frac{2\left(x-8a\right)}{8ax}-\frac{a}{8ax}$$

Since \frac{2\left(x-8a\right)}{8ax} and \frac{a}{8ax} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\left(x-8a\right)-a}{8ax}$$

Do the multiplications in 2\left(x-8a\right)-a.

$$\frac{2x-16a-a}{8ax}$$

Combine like terms in 2x-16a-a.

$$\frac{2x-17a}{8ax}$$

Expand

$$-\frac{17a-2x}{8ax}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4ax and 8x is 8ax. Multiply \frac{x-8a}{4ax} times \frac{2}{2}. Multiply \frac{1}{8x} times \frac{a}{a}.

$$\frac{2\left(x-8a\right)}{8ax}-\frac{a}{8ax}$$

Since \frac{2\left(x-8a\right)}{8ax} and \frac{a}{8ax} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2\left(x-8a\right)-a}{8ax}$$

Do the multiplications in 2\left(x-8a\right)-a.

$$\frac{2x-16a-a}{8ax}$$

Combine like terms in 2x-16a-a.

$$\frac{2x-17a}{8ax}$$