Simplify 3/(7x)-(2x)/5

$\frac{3}{7 x} - \frac{2 x}{5}$

To write $\frac{3}{7 x}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{3}{7 x} \cdot \frac{5}{5} - \frac{2 x}{5}$

To write $- \frac{2 x}{5}$ as a fraction with a common denominator, multiply by $\frac{7 x}{7 x}$ .

$\frac{3}{7 x} \cdot \frac{5}{5} - \frac{2 x}{5} \cdot \frac{7 x}{7 x}$

Write each expression with a common denominator of $35 x$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{3}{7 x}$ by $\frac{5}{5}$ .

$\frac{3 \cdot 5}{7 x \cdot 5} - \frac{2 x}{5} \cdot \frac{7 x}{7 x}$

Multiply $5$ by $7$ .

$\frac{3 \cdot 5}{35 x} - \frac{2 x}{5} \cdot \frac{7 x}{7 x}$

Multiply $\frac{2 x}{5}$ by $\frac{7 x}{7 x}$ .

$\frac{3 \cdot 5}{35 x} - \frac{2 x (7 x)}{5 (7 x)}$

Multiply $7$ by $5$ .

$\frac{3 \cdot 5}{35 x} - \frac{2 x (7 x)}{35 x}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 5 - 2 x (7 x)}{35 x}$

Simplify the numerator.

Multiply $3$ by $5$ .

$\frac{15 - 2 x (7 x)}{35 x}$

Rewrite using the commutative property of multiplication.

$\frac{15 - 2 \cdot 7 x \cdot x}{35 x}$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$\frac{15 - 2 \cdot 7 (x \cdot x)}{35 x}$

Multiply $x$ by $x$ .

$\frac{15 - 2 \cdot 7 x^{2}}{35 x}$

Multiply $- 2$ by $7$ .

$\frac{15 - 14 x^{2}}{35 x}$