Find the value of x `(-9)/(14)+ x =-1`

Options

A. `(5)/(14)`
B. `(-5)/(14)`
C. `(1)/(7)`
D. `(-1)/(7)`

Answer

To solve the equation \(-\frac{9}{14} + x = -1\), we will follow these steps:

### Step 1: Isolate \(x\)
To isolate \(x\), we need to move \(-\frac{9}{14}\) to the other side of the equation. We do this by adding \(\frac{9}{14}\) to both sides:

\[ x = -1 + \frac{9}{14} \]

### Step 2: Convert \(-1\) to a Fraction
To add the fractions, we need to express \(-1\) as a fraction with a denominator of 14. We can write \(-1\) as \(-\frac{14}{14}\):

\[ x = -\frac{14}{14} + \frac{9}{14} \]

### Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them:

\[ x = \frac{-14 + 9}{14} \]

### Step 4: Simplify the Numerator
Now, simplify the numerator:

\[ -14 + 9 = -5 \]

So, we have:

\[ x = \frac{-5}{14} \]

### Final Answer
Thus, the value of \(x\) is:

\[ x = -\frac{5}{14} \]

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