Evaluate 2e-3-1/5e=7/5+3e+4

$2 e - 3 - \frac{1}{5} e = \frac{7}{5} + 3 e + 4$

Combine $e$ and $\frac{1}{5}$ .

$2 e - 3 - \frac{e}{5} = \frac{7}{5} + 3 e + 4$

To write $2 e$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$2 e \cdot \frac{5}{5} - \frac{e}{5} - 3 = \frac{7}{5} + 3 e + 4$

Combine fractions.

Combine $2 e$ and $\frac{5}{5}$ .

$\frac{2 e \cdot 5}{5} - \frac{e}{5} - 3 = \frac{7}{5} + 3 e + 4$

Combine the numerators over the common denominator.

$\frac{2 e \cdot 5 - e}{5} - 3 = \frac{7}{5} + 3 e + 4$

Simplify the numerator.

Multiply $5$ by $2$ .

$\frac{10 e - e}{5} - 3 = \frac{7}{5} + 3 e + 4$

Subtract $e$ from $10 e$ .

$\frac{9 e}{5} - 3 = \frac{7}{5} + 3 e + 4$

To write $4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{9 e}{5} - 3 = 3 e + \frac{7}{5} + 4 \cdot \frac{5}{5}$

Combine $4$ and $\frac{5}{5}$ .

$\frac{9 e}{5} - 3 = 3 e + \frac{7}{5} + \frac{4 \cdot 5}{5}$

Combine the numerators over the common denominator.

$\frac{9 e}{5} - 3 = 3 e + \frac{7 + 4 \cdot 5}{5}$

Simplify the numerator.

Multiply $4$ by $5$ .

$\frac{9 e}{5} - 3 = 3 e + \frac{7 + 20}{5}$

Add $7$ and $20$ .

$\frac{9 e}{5} - 3 = 3 e + \frac{27}{5}$