If `22x - 40 = 207 + 3x`, then x =?
A. 14
B. 13
C. 12
D. 11

Options

A. B
B. C
C. D
D. A

Answer

To solve the equation \(22x - 40 = 207 + 3x\), we will follow these steps:

### Step 1: Rearrange the equation
We start with the original equation:
\[ 22x - 40 = 207 + 3x \]

To isolate \(x\), we will move all terms involving \(x\) to one side and constant terms to the other side. We can do this by subtracting \(3x\) from both sides:
\[ 22x - 3x - 40 = 207 \]

### Step 2: Simplify the equation
Now, simplify the left side:
\[ 19x - 40 = 207 \]

### Step 3: Move the constant term
Next, we add \(40\) to both sides to eliminate the constant on the left:
\[ 19x = 207 + 40 \]

### Step 4: Calculate the right side
Now, we calculate the right side:
\[ 19x = 247 \]

### Step 5: Solve for \(x\)
Finally, we divide both sides by \(19\) to solve for \(x\):
\[ x = \frac{247}{19} \]

### Step 6: Perform the division
Now, we perform the division:
\[ x = 13 \]

Thus, the solution to the equation is:
\[ x = 13 \]

### Conclusion
The value of \(x\) is \(13\), which corresponds to option B.

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