Solve 5+3x<x+3/3

$$5+3x < \frac{ x+3 }{ 3 }$$

Solve for x

$$x<-\frac{3}{2}$$

Solution Steps

Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.

$$15+9x<x+3$$

Subtract x from both sides.

$$15+9x-x<3$$

Combine 9x and -x to get 8x.

$$15+8x<3$$

Subtract 15 from both sides.

$$8x<3-15$$

Subtract 15 from 3 to get -12.

$$8x<-12$$

Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.

$$x<\frac{-12}{8}$$

Reduce the fraction \frac{-12}{8} to lowest terms by extracting and canceling out 4.

$$x<-\frac{3}{2}$$