Solve the Inequality for x 9(4x-8)<4(6x+9)

$9 (4 x - 8) < 4 (6 x + 9)$

Simplify $9 (4 x - 8)$ .

Start simplifying.

$0 + 0 + 9 (4 x - 8) < 4 (6 x + 9)$

Simplify by adding zeros.

$9 (4 x - 8) < 4 (6 x + 9)$

Apply the distributive property.

$9 (4 x) + 9 \cdot - 8 < 4 (6 x + 9)$

Multiply.

Multiply $4$ by $9$ .

$36 x + 9 \cdot - 8 < 4 (6 x + 9)$

Multiply $9$ by $- 8$ .

$36 x - 72 < 4 (6 x + 9)$

Simplify $4 (6 x + 9)$ .

Apply the distributive property.

$36 x - 72 < 4 (6 x) + 4 \cdot 9$

Multiply.

Multiply $6$ by $4$ .

$36 x - 72 < 24 x + 4 \cdot 9$

Multiply $4$ by $9$ .

$36 x - 72 < 24 x + 36$

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

Subtract $24 x$ from both sides of the inequality.

$36 x - 72 - 24 x < 36$

Subtract $24 x$ from $36 x$ .

$12 x - 72 < 36$

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

Add $72$ to both sides of the inequality.

$12 x < 36 + 72$

Add $36$ and $72$ .

$12 x < 108$

Divide each term in $12 x < 108$ by $12$ and simplify.

Divide each term in $12 x < 108$ by $12$ .

$\frac{12 x}{12} < \frac{108}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 x}{12} < \frac{108}{12}$

Divide $x$ by $1$ .

$x < \frac{108}{12}$

Simplify the right side.

Divide $108$ by $12$ .

$x < 9$

The result can be shown in multiple forms.

Inequality Form:

$x < 9$

Interval Notation:

$(- \infty, 9)$

Solve the Inequality for x 9(4x-8)<4(6x+9)

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