Solve for x 14+3x<=23

$14 + 3 x \leq 23$

Step 1

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

Subtract $14$ from both sides of the inequality.

$3 x \leq 23 - 14$

Subtract $14$ from $23$ .

$3 x \leq 9$

Step 2

Divide each term in $3 x \leq 9$ by $3$ and simplify.

Divide each term in $3 x \leq 9$ by $3$ .

$\frac{3 x}{3} \leq \frac{9}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} \leq \frac{9}{3}$

Divide $x$ by $1$ .

$x \leq \frac{9}{3}$

Simplify the right side.

Divide $9$ by $3$ .

$x \leq 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \leq 3$

Interval Notation:

$(- \infty, 3]$