Graph 2(x-3)-5x<x-2

$2 (x - 3) - 5 x < x - 2$

Simplify $2 (x - 3) - 5 x$ .

Simplify each term.

Apply the distributive property.

$2 x + 2 \cdot - 3 - 5 x < x - 2$

Multiply $2$ by $- 3$ .

$2 x - 6 - 5 x < x - 2$

Subtract $5 x$ from $2 x$ .

$- 3 x - 6 < x - 2$

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

Subtract $x$ from both sides of the inequality.

$- 3 x - 6 - x < - 2$

Subtract $x$ from $- 3 x$ .

$- 4 x - 6 < - 2$

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

Add $6$ to both sides of the inequality.

$- 4 x < - 2 + 6$

Add $- 2$ and $6$ .

$- 4 x < 4$

Divide each term in $- 4 x < 4$ by $- 4$ and simplify.

Divide each term in $- 4 x < 4$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 x}{- 4} > \frac{4}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} > \frac{4}{- 4}$

Divide $x$ by $1$ .

$x > \frac{4}{- 4}$

Simplify the right side.

Divide $4$ by $- 4$ .

$x > - 1$

Graph 2(x-3)-5x<x-2

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