Evaluate 5/8e-2=4+1/4e-3/4e

$\frac{5}{8} e - 2 = 4 + \frac{1}{4} e - \frac{3}{4} e$

Step 1

Combine $\frac{5}{8}$ and $e$ .

$\frac{5 e}{8} - 2 = 4 + \frac{1}{4} \cdot e - \frac{3}{4} \cdot e$

Step 2

Simplify each term.

Combine $\frac{1}{4}$ and $e$ .

$\frac{5 e}{8} - 2 = 4 + \frac{e}{4} - \frac{3}{4} \cdot e$

Combine $e$ and $\frac{3}{4}$ .

$\frac{5 e}{8} - 2 = 4 + \frac{e}{4} - \frac{e \cdot 3}{4}$

Move $3$ to the left of $e$ .

$\frac{5 e}{8} - 2 = 4 + \frac{e}{4} - \frac{3 e}{4}$

Step 3

Simplify terms.

Combine the numerators over the common denominator.

$\frac{5 e}{8} - 2 = 4 + \frac{e - 3 e}{4}$

Subtract $3 e$ from $e$ .

$\frac{5 e}{8} - 2 = 4 + \frac{- 2 e}{4}$

Step 4

Simplify each term.

Cancel the common factor of $- 2$ and $4$ .

Factor $2$ out of $- 2 e$ .

$\frac{5 e}{8} - 2 = 4 + \frac{2 (- e)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$\frac{5 e}{8} - 2 = 4 + \frac{2 (- e)}{2 (2)}$

Cancel the common factor.

$\frac{5 e}{8} - 2 = 4 + \frac{2 (- e)}{2 \cdot 2}$

Rewrite the expression.

$\frac{5 e}{8} - 2 = 4 + \frac{- e}{2}$

Move the negative in front of the fraction.

$\frac{5 e}{8} - 2 = 4 - \frac{e}{2}$