Solve 7(x+14)-5<12x+53

$$7 ( x + 14 ) - 5 < 12 x + 53$$

Solve for x

$$x>8$$

Solution Steps

Use the distributive property to multiply 7 by x+14.

$$7x+98-5<12x+53$$

Subtract 5 from 98 to get 93.

$$7x+93<12x+53$$

Subtract 12x from both sides.

$$7x+93-12x<53$$

Combine 7x and -12x to get -5x.

$$-5x+93<53$$

Subtract 93 from both sides.

$$-5x<53-93$$

Subtract 93 from 53 to get -40.

$$-5x<-40$$

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

$$x>\frac{-40}{-5}$$

Divide -40 by -5 to get 8.

$$x>8$$