Solve for x 28<4(5-2x)

$28 < 4 (5 - 2 x)$

Step 1

Rewrite so $x$ is on the left side of the inequality.

$4 (5 - 2 x) > 28$

Step 2

Divide each term in $4 (5 - 2 x) > 28$ by $4$ and simplify.

Divide each term in $4 (5 - 2 x) > 28$ by $4$ .

$\frac{4 (5 - 2 x)}{4} > \frac{28}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 (5 - 2 x)}{4} > \frac{28}{4}$

Divide $5 - 2 x$ by $1$ .

$5 - 2 x > \frac{28}{4}$

Simplify the right side.

Divide $28$ by $4$ .

$5 - 2 x > 7$

Step 3

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

Subtract $5$ from both sides of the inequality.

$- 2 x > 7 - 5$

Subtract $5$ from $7$ .

$- 2 x > 2$

Step 4

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

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

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $2$ by $- 2$ .

$x < - 1$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$x < - 1$

Interval Notation:

$(- \infty, - 1)$

Solve for x 28<4(5-2x)

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