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

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

Evaluate

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

Short Solution Steps

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

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

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

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

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

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.

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