Solve for x 54-10x<=20+7x

$54 - 10 x \leq 20 + 7 x$

Step 1

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

Subtract $7 x$ from both sides of the inequality.

$54 - 10 x - 7 x \leq 20$

Subtract $7 x$ from $- 10 x$ .

$54 - 17 x \leq 20$

Step 2

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

Subtract $54$ from both sides of the inequality.

$- 17 x \leq 20 - 54$

Subtract $54$ from $20$ .

$- 17 x \leq - 34$

Step 3

Divide each term in $- 17 x \leq - 34$ by $- 17$ and simplify.

Divide each term in $- 17 x \leq - 34$ by $- 17$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 17 x}{- 17} \geq \frac{- 34}{- 17}$

Simplify the left side.

Cancel the common factor of $- 17$ .

Cancel the common factor.

$\frac{- 17 x}{- 17} \geq \frac{- 34}{- 17}$

Divide $x$ by $1$ .

$x \geq \frac{- 34}{- 17}$

Simplify the right side.

Divide $- 34$ by $- 17$ .

$x \geq 2$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq 2$

Interval Notation:

$[2, \infty)$

Solve for x 54-10x<=20+7x

Related Questions

Support LCMGCF.com by disabling your adblocker.