Solve for x 5x+8/3=7

$5 x + \frac{8}{3} = 7$

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

Subtract $\frac{8}{3}$ from both sides of the equation.

$5 x = 7 - \frac{8}{3}$

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

$5 x = 7 \cdot \frac{3}{3} - \frac{8}{3}$

Combine $7$ and $\frac{3}{3}$ .

$5 x = \frac{7 \cdot 3}{3} - \frac{8}{3}$

Combine the numerators over the common denominator.

$5 x = \frac{7 \cdot 3 - 8}{3}$

Simplify the numerator.

Multiply $7$ by $3$ .

$5 x = \frac{21 - 8}{3}$

Subtract $8$ from $21$ .

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

Divide each term in $5 x = \frac{13}{3}$ by $5$ and simplify.

Divide each term in $5 x = \frac{13}{3}$ by $5$ .

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

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Multiply the numerator by the reciprocal of the denominator.

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

Multiply $\frac{13}{3} \cdot \frac{1}{5}$ .

Multiply $\frac{13}{3}$ by $\frac{1}{5}$ .

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

Multiply $3$ by $5$ .

$x = \frac{13}{15}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{13}{15}$

Decimal Form:

$x = 0.8\overline{6}$