Solve the Inequality for x 3<-5x+2x

$3 < - 5 x + 2 x$

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

$- 5 x + 2 x > 3$

Add $- 5 x$ and $2 x$ .

$- 3 x > 3$

Divide each term in $- 3 x > 3$ by $- 3$ and simplify.

Divide each term in $- 3 x > 3$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 x}{- 3} < \frac{3}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} < \frac{3}{- 3}$

Divide $x$ by $1$ .

$x < \frac{3}{- 3}$

Simplify the right side.

Divide $3$ by $- 3$ .

$x < - 1$

The result can be shown in multiple forms.

Inequality Form:

$x < - 1$

Interval Notation:

$(- \infty, - 1)$

Solve the Inequality for x 3<-5x+2x

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