The value of for which the expressions `12- 6x and 4x + 2` become equal is

Options

A. 0
B. 2
C. 1
D. 4

Answer

To find the value of \( x \) for which the expressions \( 12 - 6x \) and \( 4x + 2 \) become equal, we can set up the equation:

\[ 12 - 6x = 4x + 2 \]

Now, let's solve this step by step.

### Step 1: Set the expressions equal to each other
We start with the equation:
\[ 12 - 6x = 4x + 2 \]

### Step 2: Move all terms involving \( x \) to one side
To do this, we can add \( 6x \) to both sides:
\[ 12 = 4x + 6x + 2 \]
This simplifies to:
\[ 12 = 10x + 2 \]

### Step 3: Move the constant term to the other side
Next, we subtract \( 2 \) from both sides:
\[ 12 - 2 = 10x \]
This simplifies to:
\[ 10 = 10x \]

### Step 4: Solve for \( x \)
Now, we divide both sides by \( 10 \):
\[ x = 1 \]

### Conclusion
The value of \( x \) for which the expressions \( 12 - 6x \) and \( 4x + 2 \) become equal is:
\[ \boxed{1} \]