Solve the Inequality for x -2(3x-1)<8

$- 2 (3 x - 1) < 8$

Divide each term in $- 2 (3 x - 1) < 8$ by $- 2$ and simplify.

Divide each term in $- 2 (3 x - 1) < 8$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 (3 x - 1)}{- 2} > \frac{8}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 (3 x - 1)}{- 2} > \frac{8}{- 2}$

Divide $3 x - 1$ by $1$ .

$3 x - 1 > \frac{8}{- 2}$

Simplify the right side.

Divide $8$ by $- 2$ .

$3 x - 1 > - 4$

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

Add $1$ to both sides of the inequality.

$3 x > - 4 + 1$

Add $- 4$ and $1$ .

$3 x > - 3$

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

Divide each term in $3 x > - 3$ by $3$ .

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

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $- 3$ by $3$ .

$x > - 1$

The result can be shown in multiple forms.

Inequality Form:

$x > - 1$

Interval Notation:

$(- 1, \infty)$

Solve the Inequality for x -2(3x-1)<8

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