Solve the Inequality for x 14x-8>5(8-2x)

$14 x - 8 > 5 (8 - 2 x)$

Simplify $5 (8 - 2 x)$ .

Rewrite.

$14 x - 8 > 0 + 0 + 5 (8 - 2 x)$

Simplify by adding zeros.

$14 x - 8 > 5 (8 - 2 x)$

Apply the distributive property.

$14 x - 8 > 5 \cdot 8 + 5 (- 2 x)$

Multiply.

Multiply $5$ by $8$ .

$14 x - 8 > 40 + 5 (- 2 x)$

Multiply $- 2$ by $5$ .

$14 x - 8 > 40 - 10 x$

Move all terms containing $x$ to the left side of the inequality.

Add $10 x$ to both sides of the inequality.

$14 x - 8 + 10 x > 40$

Add $14 x$ and $10 x$ .

$24 x - 8 > 40$

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

Add $8$ to both sides of the inequality.

$24 x > 40 + 8$

Add $40$ and $8$ .

$24 x > 48$

Divide each term in $24 x > 48$ by $24$ and simplify.

Divide each term in $24 x > 48$ by $24$ .

$\frac{24 x}{24} > \frac{48}{24}$

Simplify the left side.

Cancel the common factor of $24$ .

Cancel the common factor.

$\frac{24 x}{24} > \frac{48}{24}$

Divide $x$ by $1$ .

$x > \frac{48}{24}$

Simplify the right side.

Divide $48$ by $24$ .

$x > 2$

The result can be shown in multiple forms.

Inequality Form:

$x > 2$

Interval Notation:

$(2, \infty)$