Solve 8<2+4x/5+10

$$8 < 2 + \frac { 4 x } { 5 } + 10$$

Solve for x

$$x>-5$$

Solution Steps

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

$$40<10+4x+50$$

Add 10 and 50 to get 60.

$$40<60+4x$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$60+4x>40$$

Subtract 60 from both sides.

$$4x>40-60$$

Subtract 60 from 40 to get -20.

$$4x>-20$$

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$x>\frac{-20}{4}$$

Divide -20 by 4 to get -5.

$$x>-5$$