Solve 6x+6/-3geq-42

$$\frac { 6 x + 6 } { - 3 } \geq - 42$$

Solve for x

$$x\leq 20$$

Solution Steps

Multiply both sides by -3. Since -3 is negative, the inequality direction is changed.

$$6x+6\leq -42\left(-3\right)$$

Multiply -42 and -3 to get 126.

$$6x+6\leq 126$$

Subtract 6 from both sides.

$$6x\leq 126-6$$

Subtract 6 from 126 to get 120.

$$6x\leq 120$$

Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.

$$x\leq \frac{120}{6}$$

Divide 120 by 6 to get 20.

$$x\leq 20$$