If `(8x -4) = (3x + 6),` then the numbrical value of `(x +1)` is

Options

A. 3
B. 9
C. 27
D. 81

Answer

To solve the equation \( (8x - 4) = (3x + 6) \) and find the numerical value of \( (x + 1) \), we can follow these steps:

### Step 1: Set up the equation
We start with the equation:
\[ 8x - 4 = 3x + 6 \]

### Step 2: Move all terms involving \( x \) to one side
To isolate \( x \), we can subtract \( 3x \) from both sides:
\[ 8x - 3x - 4 = 6 \]
This simplifies to:
\[ 5x - 4 = 6 \]

### Step 3: Move the constant term to the other side
Next, we add \( 4 \) to both sides to eliminate the constant on the left:
\[ 5x - 4 + 4 = 6 + 4 \]
This simplifies to:
\[ 5x = 10 \]

### Step 4: Solve for \( x \)
Now, we divide both sides by \( 5 \) to solve for \( x \):
\[ x = \frac{10}{5} \]
This simplifies to:
\[ x = 2 \]

### Step 5: Find \( x + 1 \)
Finally, we need to find \( x + 1 \):
\[ x + 1 = 2 + 1 = 3 \]

### Conclusion
The numerical value of \( (x + 1) \) is:
\[ \boxed{3} \]

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