Solve 9(x-8)leq-12(x+5)

$$9 ( x - 8 ) \leq - 12 ( x + 5 )$$

Solve for x

$$x\leq \frac{4}{7}$$

Solution Steps

Use the distributive property to multiply 9 by x-8.

$$9x-72\leq -12\left(x+5\right)$$

Use the distributive property to multiply -12 by x+5.

$$9x-72\leq -12x-60$$

Add 12x to both sides.

$$9x-72+12x\leq -60$$

Combine 9x and 12x to get 21x.

$$21x-72\leq -60$$

Add 72 to both sides.

$$21x\leq -60+72$$

Add -60 and 72 to get 12.

$$21x\leq 12$$

Divide both sides by 21. Since 21 is positive, the inequality direction remains the same.

$$x\leq \frac{12}{21}$$

Reduce the fraction \frac{12}{21} to lowest terms by extracting and canceling out 3.

$$x\leq \frac{4}{7}$$