Solve x/5<x-59/3

$$\frac { x } { 5 } < \frac { x - 59 } { 3 }$$

Solve for x

$$x>\frac{295}{2}$$

Solution Steps

Multiply both sides of the equation by 15, the least common multiple of 5,3. Since 15 is positive, the inequality direction remains the same.

$$3x<5\left(x-59\right)$$

Use the distributive property to multiply 5 by x-59.

$$3x<5x-295$$

Subtract 5x from both sides.

$$3x-5x<-295$$

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

$$-2x<-295$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$x>\frac{-295}{-2}$$

Fraction \frac{-295}{-2} can be simplified to \frac{295}{2} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{295}{2}$$