Evaluate Using the Given Value 2(x-4)+3x-x^2 for x=2

$2 (x - 4) + 3 x - x^{2}$ for $x = 2$

Step 1

Replace the variable $x$ with $2$ in the expression.

$2 ((2) - 4) + 3 (2) - {(2)}^{2}$

Step 2

Simplify each term.

Subtract $4$ from $2$ .

$2 \cdot - 2 + 3 (2) - {(2)}^{2}$

Multiply $2$ by $- 2$ .

$- 4 + 3 (2) - {(2)}^{2}$

Multiply $3$ by $2$ .

$- 4 + 6 - {(2)}^{2}$

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

$- 4 + 6 - 1 \cdot 4$

Multiply $- 1$ by $4$ .

$- 4 + 6 - 4$

Step 3

Simplify by adding and subtracting.

Add $- 4$ and $6$ .

$2 - 4$

Subtract $4$ from $2$ .

$- 2$