Solve the Inequality for x 8+2x<=6x-20

$8 + 2 x \leq 6 x - 20$

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

Subtract $6 x$ from both sides of the inequality.

$8 + 2 x - 6 x \leq - 20$

Subtract $6 x$ from $2 x$ .

$8 - 4 x \leq - 20$

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

Subtract $8$ from both sides of the inequality.

$- 4 x \leq - 20 - 8$

Subtract $8$ from $- 20$ .

$- 4 x \leq - 28$

Divide each term in $- 4 x \leq - 28$ by $- 4$ and simplify.

Divide each term in $- 4 x \leq - 28$ by $- 4$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 4 x}{- 4} \geq \frac{- 28}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} \geq \frac{- 28}{- 4}$

Divide $x$ by $1$ .

$x \geq \frac{- 28}{- 4}$

Simplify the right side.

Divide $- 28$ by $- 4$ .

$x \geq 7$

The result can be shown in multiple forms.

Inequality Form:

$x \geq 7$

Interval Notation:

$[7, \infty)$

Solve the Inequality for x 8+2x<=6x-20

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