Solve =x-(x/45+3x/20)

$$= x - ( \frac { x } { 45 } + \frac { 3 x } { 20 } )$$

Evaluate

$$\frac{149x}{180}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 45 and 20 is 180. Multiply \frac{x}{45} times \frac{4}{4}. Multiply \frac{3x}{20} times \frac{9}{9}.

$$x-\left(\frac{4x}{180}+\frac{9\times 3x}{180}\right)$$

Since \frac{4x}{180} and \frac{9\times 3x}{180} have the same denominator, add them by adding their numerators.

$$x-\frac{4x+9\times 3x}{180}$$

Do the multiplications in 4x+9\times 3x.

$$x-\frac{4x+27x}{180}$$

Combine like terms in 4x+27x.

$$x-\frac{31x}{180}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{180}{180}.

$$\frac{180x}{180}-\frac{31x}{180}$$

Since \frac{180x}{180} and \frac{31x}{180} have the same denominator, subtract them by subtracting their numerators.

$$\frac{180x-31x}{180}$$

Combine like terms in 180x-31x.

$$\frac{149x}{180}$$

Expand

$$\frac{149x}{180}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 45 and 20 is 180. Multiply \frac{x}{45} times \frac{4}{4}. Multiply \frac{3x}{20} times \frac{9}{9}.

$$x-\left(\frac{4x}{180}+\frac{9\times 3x}{180}\right)$$

Since \frac{4x}{180} and \frac{9\times 3x}{180} have the same denominator, add them by adding their numerators.

$$x-\frac{4x+9\times 3x}{180}$$

Do the multiplications in 4x+9\times 3x.

$$x-\frac{4x+27x}{180}$$

Combine like terms in 4x+27x.

$$x-\frac{31x}{180}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{180}{180}.

$$\frac{180x}{180}-\frac{31x}{180}$$

Since \frac{180x}{180} and \frac{31x}{180} have the same denominator, subtract them by subtracting their numerators.

$$\frac{180x-31x}{180}$$

Combine like terms in 180x-31x.

$$\frac{149x}{180}$$