Graph -8x+2x-16<-5x+7x

$- 8 x + 2 x - 16 < - 5 x + 7 x$

Add $- 8 x$ and $2 x$ .

$- 6 x - 16 < - 5 x + 7 x$

Add $- 5 x$ and $7 x$ .

$- 6 x - 16 < 2 x$

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

Subtract $2 x$ from both sides of the inequality.

$- 6 x - 16 - 2 x < 0$

Subtract $2 x$ from $- 6 x$ .

$- 8 x - 16 < 0$

Add $16$ to both sides of the inequality.

$- 8 x < 16$

Divide each term in $- 8 x < 16$ by $- 8$ and simplify.

Divide each term in $- 8 x < 16$ by $- 8$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 8 x}{- 8} > \frac{16}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 x}{- 8} > \frac{16}{- 8}$

Divide $x$ by $1$ .

$x > \frac{16}{- 8}$

Simplify the right side.

Divide $16$ by $- 8$ .

$x > - 2$

Graph -8x+2x-16<-5x+7x

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