Solve x+2/2>-3(x-4)

$$\frac { x + 2 } { 2 } > - 3 ( x - 4 )$$

Solve for x

$$x>\frac{22}{7}$$

Solution Steps

Multiply both sides of the equation by 2. Since 2 is positive, the inequality direction remains the same.

$$x+2>-6\left(x-4\right)$$

Use the distributive property to multiply -6 by x-4.

$$x+2>-6x+24$$

Add 6x to both sides.

$$x+2+6x>24$$

Combine x and 6x to get 7x.

$$7x+2>24$$

Subtract 2 from both sides.

$$7x>24-2$$

Subtract 2 from 24 to get 22.

$$7x>22$$

Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.

$$x>\frac{22}{7}$$