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 \(-1\) and \(\frac{9}{14}\), we need to express \(-1\) as a fraction with the same denominator (14).

\[ -1 = -\frac{14}{14} \]

### Step 3: Add the fractions
Now we can add the two fractions:

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

Since both fractions have the same denominator, we can combine them:

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

### Step 4: Simplify the numerator
Now we 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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