Solve 2x/5-23-(2x-16)<0

$$\frac { 2 x } { 5 } - 23 - ( 2 x - 16 ) < 0$$

Solve for x

$$x>-\frac{35}{8}$$

Solution Steps

Multiply both sides of the equation by 5. Since 5 is positive, the inequality direction remains the same.

$$2x-115-5\left(2x-16\right)<0$$

Use the distributive property to multiply -5 by 2x-16.

$$2x-115-10x+80<0$$

Combine 2x and -10x to get -8x.

$$-8x-115+80<0$$

Add -115 and 80 to get -35.

$$-8x-35<0$$

Add 35 to both sides. Anything plus zero gives itself.

$$-8x<35$$

Divide both sides by -8. Since -8 is negative, the inequality direction is changed.

$$x>-\frac{35}{8}$$