Solve the Inequality for x 5x+12+3x<36

$5 x + 12 + 3 x < 36$

Step 1

Add $5 x$ and $3 x$ .

$8 x + 12 < 36$

Step 2

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

Subtract $12$ from both sides of the inequality.

$8 x < 36 - 12$

Subtract $12$ from $36$ .

$8 x < 24$

Step 3

Divide each term in $8 x < 24$ by $8$ and simplify.

Divide each term in $8 x < 24$ by $8$ .

$\frac{8 x}{8} < \frac{24}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} < \frac{24}{8}$

Divide $x$ by $1$ .

$x < \frac{24}{8}$

Simplify the right side.

Divide $24$ by $8$ .

$x < 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < 3$

Interval Notation:

$(- \infty, 3)$