# How do you solve 30-5(4^2-8÷4-5*2)?

Apr 28, 2016

$10$

#### Explanation:

According to B.E.D.M.A.S., simplify the expression within the brackets. Start by simplifying the exponents.

$30 - 5 \left(\textcolor{red}{{4}^{2}} - 8 \div 4 - 5 \cdot 2\right)$

=30-5(color(red)(16) color(blue)(-8-:4)-5*2)

Multiply/divide the numbers from left to right within the brackets.

=30-5(16 $\textcolor{b l u e}{- 2}$ color(darkorange)(-5*2))

=30-5(color(teal)(16-2) color(darkorange)(-10))

Subtract the numbers from left to right within the brackets.

$= 30 - 5 \left(\textcolor{t e a l}{14} - 10\right)$

$= 30$ $\textcolor{p u r p \le}{- 5 \left(4\right)}$

Multiply $- 5$ by $4$.

$= 30$ $\textcolor{p u r p \le}{- 20}$

$= 10$