Solve the Inequality for x 2(x-3)-4x>8

$2 (x - 3) - 4 x > 8$

Simplify $2 (x - 3) - 4 x$ .

Simplify each term.

Apply the distributive property.

$2 x + 2 \cdot - 3 - 4 x > 8$

Multiply $2$ by $- 3$ .

$2 x - 6 - 4 x > 8$

Subtract $4 x$ from $2 x$ .

$- 2 x - 6 > 8$

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

Add $6$ to both sides of the inequality.

$- 2 x > 8 + 6$

Add $8$ and $6$ .

$- 2 x > 14$

Divide each term in $- 2 x > 14$ by $- 2$ and simplify.

Divide each term in $- 2 x > 14$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 x}{- 2} < \frac{14}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} < \frac{14}{- 2}$

Divide $x$ by $1$ .

$x < \frac{14}{- 2}$

Simplify the right side.

Divide $14$ by $- 2$ .

$x < - 7$

The result can be shown in multiple forms.

Inequality Form:

$x < - 7$

Interval Notation:

$(- \infty, - 7)$

Solve the Inequality for x 2(x-3)-4x>8

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