Solve the Inequality for x 3-2x>5

$3 - 2 x > 5$

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

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Subtract $3$ from both sides of the inequality.

$- 2 x > 5 - 3$

Subtract $3$ from $5$ .

$- 2 x > 2$

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

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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.

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Cancel the common factor of $- 2$ .

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Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

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Divide $2$ by $- 2$ .

$x < - 1$

The result can be shown in multiple forms.

Inequality Form:

$x < - 1$

Interval Notation:

$(- \infty, - 1)$