Pre-Algebra Examples

$6 + 18 < 16 x - 2$

Step 1

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

$16 x - 2 > 6 + 18$

Step 2

Add $6$ and $18$ .

$16 x - 2 > 24$

Step 3

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

Tap for more steps...

Step 3.1

Add $2$ to both sides of the inequality.

$16 x > 24 + 2$

Step 3.2

Add $24$ and $2$ .

$16 x > 26$

Step 4

Divide each term in $16 x > 26$ by $16$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $16 x > 26$ by $16$ .

$\frac{16 x}{16} > \frac{26}{16}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $16$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{16 x}{16} > \frac{26}{16}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x > \frac{26}{16}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Cancel the common factor of $26$ and $16$ .

Tap for more steps...

Step 4.3.1.1

Factor $2$ out of $26$ .

$x > \frac{2 (13)}{16}$

Step 4.3.1.2

Cancel the common factors.

Tap for more steps...

Step 4.3.1.2.1

Factor $2$ out of $16$ .

$x > \frac{2 \cdot 13}{2 \cdot 8}$

Step 4.3.1.2.2

Cancel the common factor.

$x > \frac{2 \cdot 13}{2 \cdot 8}$

Step 4.3.1.2.3

Rewrite the expression.

$x > \frac{13}{8}$

Step 5