Solve for x 2/7x+11/7x=3/5

$\frac{2}{7} x + \frac{11}{7} x = \frac{3}{5}$

Simplify $\frac{2}{7} x + \frac{11}{7} x$ .

Simplify each term.

Combine $\frac{2}{7}$ and $x$ .

$\frac{2 x}{7} + \frac{11}{7} x = \frac{3}{5}$

Combine $\frac{11}{7}$ and $x$ .

$\frac{2 x}{7} + \frac{11 x}{7} = \frac{3}{5}$

Simplify terms.

Combine the numerators over the common denominator.

$\frac{2 x + 11 x}{7} = \frac{3}{5}$

Add $2 x$ and $11 x$ .

$\frac{13 x}{7} = \frac{3}{5}$

Multiply both sides of the equation by $\frac{7}{13}$ .

$\frac{7}{13} \cdot \frac{13 x}{7} = \frac{7}{13} \cdot \frac{3}{5}$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{7}{13} \cdot \frac{13 x}{7}$ .

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7}{13} \cdot \frac{13 x}{7} = \frac{7}{13} \cdot \frac{3}{5}$

Rewrite the expression.

$\frac{1}{13} (13 x) = \frac{7}{13} \cdot \frac{3}{5}$

Cancel the common factor of $13$ .

Factor $13$ out of $13 x$ .

$\frac{1}{13} (13 (x)) = \frac{7}{13} \cdot \frac{3}{5}$

Cancel the common factor.

$\frac{1}{13} (13 x) = \frac{7}{13} \cdot \frac{3}{5}$

Rewrite the expression.

$x = \frac{7}{13} \cdot \frac{3}{5}$

Simplify the right side.

Multiply $\frac{7}{13} \cdot \frac{3}{5}$ .

Multiply $\frac{7}{13}$ by $\frac{3}{5}$ .

$x = \frac{7 \cdot 3}{13 \cdot 5}$

Multiply $7$ by $3$ .

$x = \frac{21}{13 \cdot 5}$

Multiply $13$ by $5$ .

$x = \frac{21}{65}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{21}{65}$

Decimal Form:

$x = 0.3\overline{230769}$