Solve for x 2/3+x/5=6

$\frac{2}{3} + \frac{x}{5} = 6$

Move all terms not containing $x$ to the right side of the equation.

Subtract $\frac{2}{3}$ from both sides of the equation.

$\frac{x}{5} = 6 - \frac{2}{3}$

To write $6$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{x}{5} = 6 \cdot \frac{3}{3} - \frac{2}{3}$

Combine $6$ and $\frac{3}{3}$ .

$\frac{x}{5} = \frac{6 \cdot 3}{3} - \frac{2}{3}$

Combine the numerators over the common denominator.

$\frac{x}{5} = \frac{6 \cdot 3 - 2}{3}$

Simplify the numerator.

Multiply $6$ by $3$ .

$\frac{x}{5} = \frac{18 - 2}{3}$

Subtract $2$ from $18$ .

$\frac{x}{5} = \frac{16}{3}$

Multiply both sides of the equation by $5$ .

$5 \frac{x}{5} = 5 (\frac{16}{3})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{x}{5} = 5 (\frac{16}{3})$

Rewrite the expression.

$x = 5 (\frac{16}{3})$

Simplify the right side.

Multiply $5 (\frac{16}{3})$ .

Combine $5$ and $\frac{16}{3}$ .

$x = \frac{5 \cdot 16}{3}$

Multiply $5$ by $16$ .

$x = \frac{80}{3}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{80}{3}$

Decimal Form:

$x = 26.\overline{6}$

Mixed Number Form:

$x = 26 \frac{2}{3}$