Solve -3(x-2)leq2(x+7)

$$- 3 ( x - 2 ) \leq 2 ( x + 7 )$$

Solve for x

$$x\geq -\frac{8}{5}$$

Solution Steps

Use the distributive property to multiply -3 by x-2.

$$-3x+6\leq 2\left(x+7\right)$$

Use the distributive property to multiply 2 by x+7.

$$-3x+6\leq 2x+14$$

Subtract 2x from both sides.

$$-3x+6-2x\leq 14$$

Combine -3x and -2x to get -5x.

$$-5x+6\leq 14$$

Subtract 6 from both sides.

$$-5x\leq 14-6$$

Subtract 6 from 14 to get 8.

$$-5x\leq 8$$

Divide both sides by -5. Since -5 is negative, the inequality direction is changed.

$$x\geq -\frac{8}{5}$$