Evaluate 84/12+(5-7^2)-72÷6*2

$\frac{84}{12} + (5 - 7^{2}) - 72 \div 6 \cdot 2$

Step 1

Remove parentheses.

$\frac{84}{12} + 5 - 7^{2} - 72 \div 6 \cdot 2$

Step 2

Simplify each term.

Divide $84$ by $12$ .

$7 + 5 - 7^{2} - 72 \div 6 \cdot 2$

Raise $7$ to the power of $2$ .

$7 + 5 - 1 \cdot 49 - 72 \div 6 \cdot 2$

Multiply $- 1$ by $49$ .

$7 + 5 - 49 - 72 \div 6 \cdot 2$

Cancel the common factor of $2$ .

Move the leading negative in $- 72 \div 6$ into the numerator.

$7 + 5 - 49 + - 72 \div 6 \cdot 2$

Factor $2$ out of $6$ .

$7 + 5 - 49 + - 72 \div 2 (3) \cdot 2$

Cancel the common factor.

$7 + 5 - 49 + - 72 \div 2 \cdot 3 \cdot 2$

Rewrite the expression.

$7 + 5 - 49 + \frac{- 72}{3}$

Divide $- 72$ by $3$ .

$7 + 5 - 49 - 24$

Step 3

Simplify by adding and subtracting.

Add $7$ and $5$ .

$12 - 49 - 24$

Subtract $49$ from $12$ .

$- 37 - 24$

Subtract $24$ from $- 37$ .

$- 61$