Solve the Inequality for x 2x+14-5x<-2x+8

$2 x + 14 - 5 x < - 2 x + 8$

Step 1

Subtract $5 x$ from $2 x$ .

$- 3 x + 14 < - 2 x + 8$

Step 2

Move all terms containing $x$ to the left side of the inequality.

Add $2 x$ to both sides of the inequality.

$- 3 x + 14 + 2 x < 8$

Add $- 3 x$ and $2 x$ .

$- x + 14 < 8$

Step 3

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

Subtract $14$ from both sides of the inequality.

$- x < 8 - 14$

Subtract $14$ from $8$ .

$- x < - 6$

Step 4

Divide each term in $- x < - 6$ by $- 1$ and simplify.

Divide each term in $- x < - 6$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} > \frac{- 6}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} > \frac{- 6}{- 1}$

Divide $x$ by $1$ .

$x > \frac{- 6}{- 1}$

Simplify the right side.

Divide $- 6$ by $- 1$ .

$x > 6$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$x > 6$

Interval Notation:

$(6, \infty)$

Solve the Inequality for x 2x+14-5x<-2x+8

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