If `12(x - 11) = -15`, then x =?

Options

A. `- 49/4`
B. `- 13/6`
C. `-5/4`
D. `39/4`

Answer

To solve the equation \( 12(x - 11) = -15 \), we will follow these steps:

### Step 1: Divide both sides by 12
We start with the equation:
\[ 12(x - 11) = -15 \]
To isolate \( x - 11 \), we divide both sides by 12:
\[ x - 11 = \frac{-15}{12} \]

### Step 2: Simplify the fraction
Next, we simplify the fraction on the right side:
\[ \frac{-15}{12} = \frac{-5}{4} \]
So now we have:
\[ x - 11 = -\frac{5}{4} \]

### Step 3: Add 11 to both sides
To solve for \( x \), we add 11 to both sides:
\[ x = -\frac{5}{4} + 11 \]

### Step 4: Convert 11 to a fraction
We can express 11 as a fraction with a denominator of 4:
\[ 11 = \frac{44}{4} \]
Now we can rewrite the equation:
\[ x = -\frac{5}{4} + \frac{44}{4} \]

### Step 5: Combine the fractions
Now we combine the fractions:
\[ x = \frac{-5 + 44}{4} = \frac{39}{4} \]

### Final Answer
Thus, the value of \( x \) is:
\[ x = \frac{39}{4} \]

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