Solve the Inequality for x -15+8x>8x-3x

$- 15 + 8 x > 8 x - 3 x$

Rewrite so $x$ is on the left side of the inequality.

$8 x - 3 x < - 15 + 8 x$

Subtract $3 x$ from $8 x$ .

$5 x < - 15 + 8 x$

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

Subtract $8 x$ from both sides of the inequality.

$5 x - 8 x < - 15$

Subtract $8 x$ from $5 x$ .

$- 3 x < - 15$

Divide each term in $- 3 x < - 15$ by $- 3$ and simplify.

Divide each term in $- 3 x < - 15$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 x}{- 3} > \frac{- 15}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} > \frac{- 15}{- 3}$

Divide $x$ by $1$ .

$x > \frac{- 15}{- 3}$

Simplify the right side.

Divide $- 15$ by $- 3$ .

$x > 5$

The result can be shown in multiple forms.

Inequality Form:

$x > 5$

Interval Notation:

$(5, \infty)$

Solve the Inequality for x -15+8x>8x-3x

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