Solve for x 2/3+x=3

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

Multiply $3$ by $3$ .

$x = \frac{9 - 2}{3}$

Subtract $2$ from $9$ .

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

Step 6

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 2.\overline{3}$

Mixed Number Form:

$x = 2 \frac{1}{3}$