Solve -3/5(x/6+5)

$$- \frac { 3 } { 5 } ( \frac { x } { 6 } + 5 )$$

Evaluate

$$-\frac{x}{10}-3$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{6}{6}.

$$-\frac{3}{5}\left(\frac{x}{6}+\frac{5\times 6}{6}\right)$$

Since \frac{x}{6} and \frac{5\times 6}{6} have the same denominator, add them by adding their numerators.

$$-\frac{3}{5}\times \frac{x+5\times 6}{6}$$

Do the multiplications in x+5\times 6.

$$-\frac{3}{5}\times \frac{x+30}{6}$$

Multiply -\frac{3}{5} times \frac{x+30}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(x+30\right)}{5\times 6}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-\left(x+30\right)}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{-\left(x+30\right)}{10}$$

To find the opposite of x+30, find the opposite of each term.

$$\frac{-x-30}{10}$$

Expand

$$-\frac{x}{10}-3$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 5 times \frac{6}{6}.

$$-\frac{3}{5}\left(\frac{x}{6}+\frac{5\times 6}{6}\right)$$

Since \frac{x}{6} and \frac{5\times 6}{6} have the same denominator, add them by adding their numerators.

$$-\frac{3}{5}\times \frac{x+5\times 6}{6}$$

Do the multiplications in x+5\times 6.

$$-\frac{3}{5}\times \frac{x+30}{6}$$

Multiply -\frac{3}{5} times \frac{x+30}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\left(x+30\right)}{5\times 6}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-\left(x+30\right)}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{-\left(x+30\right)}{10}$$

To find the opposite of x+30, find the opposite of each term.

$$\frac{-x-30}{10}$$