If 14.35 - (1.956 - x) - 83.92 = 3.858, then what is the value of x ?

Options

A. A) -92.456
B. B) 75.384
C. C) 71.472
D. D) 104.084

Answer

To solve the equation \( 14.35 - (1.956 - x) - 83.92 = 3.858 \), we will follow these steps:

### Step 1: Simplify the equation
Start by rewriting the equation:
\[ 14.35 - (1.956 - x) - 83.92 = 3.858 \]
This can be rewritten as:
\[ 14.35 - 1.956 + x - 83.92 = 3.858 \]

### Step 2: Combine like terms
Now, combine the constant terms on the left side:
\[ (14.35 - 1.956 - 83.92) + x = 3.858 \]
Calculating the constants:
\[ 14.35 - 1.956 = 12.394 \]
Then,
\[ 12.394 - 83.92 = -71.526 \]
So, the equation simplifies to:
\[ -71.526 + x = 3.858 \]

### Step 3: Isolate x
Now, isolate \( x \) by adding \( 71.526 \) to both sides:
\[ x = 3.858 + 71.526 \]

### Step 4: Calculate the value of x
Now, perform the addition:
\[ x = 75.384 \]

### Conclusion
Thus, the value of \( x \) is:
\[ \boxed{75.384} \]