When `60 - [30 -{35 -(15-x)}] = 60`, then `x` is equal to

Options

A. 29
B. 35
C. -19
D. 10

Answer

To solve the equation \( 60 - [30 - {35 - (15 - x)}] = 60 \), we will simplify it step by step.

### Step 1: Start with the given equation
\[ 60 - [30 - {35 - (15 - x)}] = 60 \]

### Step 2: Simplify the inner bracket
First, we simplify the innermost expression \( 15 - x \):
\[ 35 - (15 - x) = 35 - 15 + x = 20 + x \]

### Step 3: Substitute back into the equation
Now, substitute \( 20 + x \) back into the equation:
\[ 60 - [30 - (20 + x)] = 60 \]

### Step 4: Simplify the expression inside the brackets
Now simplify \( 30 - (20 + x) \):
\[ 30 - 20 - x = 10 - x \]

### Step 5: Substitute back into the equation
Now substitute \( 10 - x \) back into the equation:
\[ 60 - (10 - x) = 60 \]

### Step 6: Simplify the equation
Now simplify the left side:
\[ 60 - 10 + x = 60 \]
\[ 50 + x = 60 \]

### Step 7: Solve for \( x \)
Now, isolate \( x \):
\[ x = 60 - 50 \]
\[ x = 10 \]

### Conclusion
Thus, the value of \( x \) is \( 10 \).