Solve for x 8x+6<54

$8 x + 6 < 54$

Step 1

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

Subtract $6$ from both sides of the inequality.

$8 x < 54 - 6$

Subtract $6$ from $54$ .

$8 x < 48$

Step 2

Divide each term in $8 x < 48$ by $8$ and simplify.

Divide each term in $8 x < 48$ by $8$ .

$\frac{8 x}{8} < \frac{48}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} < \frac{48}{8}$

Divide $x$ by $1$ .

$x < \frac{48}{8}$

Simplify the right side.

Divide $48$ by $8$ .

$x < 6$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < 6$

Interval Notation:

$(- \infty, 6)$