Solve the Inequality for x -4(-4+x)>56

$- 4 (- 4 + x) > 56$

Step 1

Divide each term in $- 4 (- 4 + x) > 56$ by $- 4$ and simplify.

Divide each term in $- 4 (- 4 + x) > 56$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 (- 4 + x)}{- 4} < \frac{56}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 (- 4 + x)}{- 4} < \frac{56}{- 4}$

Divide $- 4 + x$ by $1$ .

$- 4 + x < \frac{56}{- 4}$

Simplify the right side.

Divide $56$ by $- 4$ .

$- 4 + x < - 14$

Step 2

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

Add $4$ to both sides of the inequality.

$x < - 14 + 4$

Add $- 14$ and $4$ .

$x < - 10$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < - 10$

Interval Notation:

$(- \infty, - 10)$

Solve the Inequality for x -4(-4+x)>56

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