Solve the Inequality for x -7x+14>-3x-6

$- 7 x + 14 > - 3 x - 6$

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

Add $3 x$ to both sides of the inequality.

$- 7 x + 14 + 3 x > - 6$

Add $- 7 x$ and $3 x$ .

$- 4 x + 14 > - 6$

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

Subtract $14$ from both sides of the inequality.

$- 4 x > - 6 - 14$

Subtract $14$ from $- 6$ .

$- 4 x > - 20$

Divide each term in $- 4 x > - 20$ by $- 4$ and simplify.

Divide each term in $- 4 x > - 20$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 x}{- 4} < \frac{- 20}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} < \frac{- 20}{- 4}$

Divide $x$ by $1$ .

$x < \frac{- 20}{- 4}$

Simplify the right side.

Divide $- 20$ by $- 4$ .

$x < 5$

The result can be shown in multiple forms.

Inequality Form:

$x < 5$

Interval Notation:

$(- \infty, 5)$

Solve the Inequality for x -7x+14>-3x-6

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