Solve the Inequality for x 5<3x+8

$5 < 3 x + 8$

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

$3 x + 8 > 5$

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

Subtract $8$ from both sides of the inequality.

$3 x > 5 - 8$

Subtract $8$ from $5$ .

$3 x > - 3$

Divide each term in $3 x > - 3$ by $3$ and simplify.

Divide each term in $3 x > - 3$ by $3$ .

$\frac{3 x}{3} > \frac{- 3}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} > \frac{- 3}{3}$

Divide $x$ by $1$ .

$x > \frac{- 3}{3}$

Simplify the right side.

Divide $- 3$ by $3$ .

$x > - 1$

The result can be shown in multiple forms.

Inequality Form:

$x > - 1$

Interval Notation:

$(- 1, \infty)$