Solve 3/5x-2-1/3x+1/2

$$\frac { 3 } { 5 } x - 2 - \frac { 1 } { 3 } x + \frac { 1 } { 2 }$$

Evaluate

$$\frac{4x}{15}-\frac{3}{2}$$

Solution Steps

Combine \frac{3}{5}x and -\frac{1}{3}x to get \frac{4}{15}x.

$$\frac{4}{15}x-2+\frac{1}{2}$$

Convert -2 to fraction -\frac{4}{2}.

$$\frac{4}{15}x-\frac{4}{2}+\frac{1}{2}$$

Since -\frac{4}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{4}{15}x+\frac{-4+1}{2}$$

Add -4 and 1 to get -3.

$$\frac{4}{15}x-\frac{3}{2}$$

Factor

$$\frac{8x-45}{30}$$

Solution Steps

Factor out \frac{1}{30}.

$$\frac{8x-45}{30}$$

Consider 18x-60-10x+15. Multiply and combine like terms.

$$8x-45$$

Rewrite the complete factored expression.

$$\frac{8x-45}{30}$$