Solve for x -5x+7>42

$- 5 x + 7 > 42$

Step 1

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

Subtract $7$ from both sides of the inequality.

$- 5 x > 42 - 7$

Subtract $7$ from $42$ .

$- 5 x > 35$

Step 2

Divide each term in $- 5 x > 35$ by $- 5$ and simplify.

Divide each term in $- 5 x > 35$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 x}{- 5} < \frac{35}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x}{- 5} < \frac{35}{- 5}$

Divide $x$ by $1$ .

$x < \frac{35}{- 5}$

Simplify the right side.

Divide $35$ by $- 5$ .

$x < - 7$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x < - 7$

Interval Notation:

$(- \infty, - 7)$

Solve for x -5x+7>42

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