Solve for x -2x+5<7

$- 2 x + 5 < 7$

Step 1

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 2

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 3

The result can be shown in multiple forms.

Inequality Form:

$x > - 1$

Interval Notation:

$(- 1, \infty)$

Solve for x -2x+5<7

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