Solve for x 12-x>15

$12 - x > 15$

Step 1

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

Subtract $12$ from both sides of the inequality.

$- x > 15 - 12$

Subtract $12$ from $15$ .

$- x > 3$

Step 2

Divide each term in $- x > 3$ by $- 1$ and simplify.

Divide each term in $- x > 3$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} < \frac{3}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} < \frac{3}{- 1}$

Divide $x$ by $1$ .

$x < \frac{3}{- 1}$

Simplify the right side.

Divide $3$ by $- 1$ .

$x < - 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < - 3$

Interval Notation:

$(- \infty, - 3)$

Solve for x 12-x>15

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