Solve the Inequality for x -6(-3+6x)>-38-8x

$- 6 (- 3 + 6 x) > - 38 - 8 x$

Simplify $- 6 (- 3 + 6 x)$ .

Rewrite.

$0 + 0 - 6 (- 3 + 6 x) > - 38 - 8 x$

Simplify by adding zeros.

$- 6 (- 3 + 6 x) > - 38 - 8 x$

Apply the distributive property.

$- 6 \cdot - 3 - 6 (6 x) > - 38 - 8 x$

Multiply.

Multiply $- 6$ by $- 3$ .

$18 - 6 (6 x) > - 38 - 8 x$

Multiply $6$ by $- 6$ .

$18 - 36 x > - 38 - 8 x$

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

Add $8 x$ to both sides of the inequality.

$18 - 36 x + 8 x > - 38$

Add $- 36 x$ and $8 x$ .

$18 - 28 x > - 38$

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

Subtract $18$ from both sides of the inequality.

$- 28 x > - 38 - 18$

Subtract $18$ from $- 38$ .

$- 28 x > - 56$

Divide each term in $- 28 x > - 56$ by $- 28$ and simplify.

Divide each term in $- 28 x > - 56$ by $- 28$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 28 x}{- 28} < \frac{- 56}{- 28}$

Simplify the left side.

Cancel the common factor of $- 28$ .

Cancel the common factor.

$\frac{- 28 x}{- 28} < \frac{- 56}{- 28}$

Divide $x$ by $1$ .

$x < \frac{- 56}{- 28}$

Simplify the right side.

Divide $- 56$ by $- 28$ .

$x < 2$

The result can be shown in multiple forms.

Inequality Form:

$x < 2$

Interval Notation:

$(- \infty, 2)$

Solve the Inequality for x -6(-3+6x)>-38-8x

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