Solve for x -2x-4<3x+21

$- 2 x - 4 < 3 x + 21$

Step 1

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

Subtract $3 x$ from both sides of the inequality.

$- 2 x - 4 - 3 x < 21$

Subtract $3 x$ from $- 2 x$ .

$- 5 x - 4 < 21$

Step 2

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

Add $4$ to both sides of the inequality.

$- 5 x < 21 + 4$

Add $21$ and $4$ .

$- 5 x < 25$

Step 3

Divide each term in $- 5 x < 25$ by $- 5$ and simplify.

Divide each term in $- 5 x < 25$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 x}{- 5} > \frac{25}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} > \frac{25}{- 5}$

Divide $x$ by $1$ .

$x > \frac{25}{- 5}$

Simplify the right side.

Divide $25$ by $- 5$ .

$x > - 5$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > - 5$

Interval Notation:

$(- 5, \infty)$

Solve for x -2x-4<3x+21

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