Solve x-6leq187x

$$x - 6 \leq 187 x$$

Solve for x

$$x\geq -\frac{1}{31}$$

Solution Steps

Subtract 187x from both sides.

$$x-6-187x\leq 0$$

Combine x and -187x to get -186x.

$$-186x-6\leq 0$$

Add 6 to both sides. Anything plus zero gives itself.

$$-186x\leq 6$$

Divide both sides by -186. Since -186 is negative, the inequality direction is changed.

$$x\geq \frac{6}{-186}$$

Reduce the fraction \frac{6}{-186} to lowest terms by extracting and canceling out 6.

$$x\geq -\frac{1}{31}$$