Evaluate (-2^4)÷4-(4x)÷6+10

$- 2^{4} \div 4 - 4 x \div 6 + 10$

Simplify each term.

Rewrite the division as a fraction.

$\frac{- 2^{4}}{4} - 4 x \div 6 + 10$

Raise $2$ to the power of $4$ .

$\frac{- 1 \cdot 16}{4} - 4 x \div 6 + 10$

Multiply $- 1$ by $16$ .

$\frac{- 16}{4} - 4 x \div 6 + 10$

Divide $- 16$ by $4$ .

$- 4 - 4 x \div 6 + 10$

Rewrite the division as a fraction.

$- 4 - \frac{4 x}{6} + 10$

Cancel the common factor of $4$ and $6$ .

Factor $2$ out of $4 x$ .

$- 4 - \frac{2 (2 x)}{6} + 10$

Cancel the common factors.

Factor $2$ out of $6$ .

$- 4 - \frac{2 (2 x)}{2 (3)} + 10$

Cancel the common factor.

$- 4 - \frac{2 (2 x)}{2 \cdot 3} + 10$

Rewrite the expression.

$- 4 - \frac{2 x}{3} + 10$

$- 4 - \frac{2 x}{3} + 10$

$- 4 - \frac{2 x}{3} + 10$

$- 4 - \frac{2 x}{3} + 10$

Add $- 4$ and $10$ .

$- \frac{2 x}{3} + 6$

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