Evaluate the expression $$ 10-2 x $$ for the $$ x $$-values given below. $$ \begin{array}{ll}\text { a. } x=2 & \text { b. } x=\frac{1}{2} \ \text { c. } x=-2\end{array} $$ $$ \text { Hint (a): } $$

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### Step-by-Step Solution

**a. For $$ x = 2 $$:**
1. Substitute $$ x = 2 $$ into the expression:  
   $$
   10 - 2 \times 2
   $$
2. Multiply $$ 2 $$ by $$ 2 $$:  
   $$
   10 - 4
   $$
3. Subtract:  
   $$
   10 - 4 = 6
   $$

**b. For $$ x = \frac{1}{2} $$:**
1. Substitute $$ x = \frac{1}{2} $$ into the expression:  
   $$
   10 - 2 \times \frac{1}{2}
   $$
2. Multiply $$ 2 $$ by $$ \frac{1}{2} $$:  
   $$
   2 \times \frac{1}{2} = 1
   $$
3. Subtract:  
   $$
   10 - 1 = 9
   $$

**c. For $$ x = -2 $$:**
1. Substitute $$ x = -2 $$ into the expression:  
   $$
   10 - 2 \times (-2)
   $$
2. Multiply $$ 2 $$ by $$-2$$:  
   $$
   2 \times (-2) = -4
   $$
3. Subtract (note the double negative turns into addition):  
   $$
   10 - (-4) = 10 + 4 = 14
   $$

Thus, the final evaluations are:
- For $$ x = 2 $$, the value is $$ 6 $$.
- For $$ x = \frac{1}{2} $$, the value is $$ 9 $$.
- For $$ x = -2 $$, the value is $$ 14 $$.
For $$ x = 2 $$, the value is 6; for $$ x = \frac{1}{2} $$, the value is 9; for $$ x = -2 $$, the value is 14.

Evaluate the expression \( 10-2 x \) for the \( x \)-values given below. \[ \begin{array}{ll}\text { a. } x=2 & \text { b. } x=\frac{1}{2} \\ \text { c. } x=-2\end{array} \] \[ \text { Hint (a): } \]

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