Graph 6>2/3x+5

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

Rewrite so $x$ is on the left side of the inequality.

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

Combine $\frac{2}{3}$ and $x$ .

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

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

Subtract $5$ from both sides of the inequality.

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

Subtract $5$ from $6$ .

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

Multiply both sides by $3$ .

$\frac{2 x}{3} \cdot 3 < 1 \cdot 3$

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{2 x}{3} \cdot 3 < 1 \cdot 3$

Rewrite the expression.

$2 x < 1 \cdot 3$

Simplify the right side.

Multiply $3$ by $1$ .

$2 x < 3$

Divide each term in $2 x < 3$ by $2$ and simplify.

Divide each term in $2 x < 3$ by $2$ .

$\frac{2 x}{2} < \frac{3}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} < \frac{3}{2}$

Divide $x$ by $1$ .

$x < \frac{3}{2}$