If `(9-3x) - (17x - 10) =-1,` then the value of x is

Options

A. A)1
B. B)`-1`
C. C)`9//10`
D. D)`-9//10`

Answer

To solve the equation \((9 - 3x) - (17x - 10) = -1\), we will follow these steps:

### Step 1: Simplify the left side of the equation
Start by distributing the negative sign across the second bracket:

\[ (9 - 3x) - (17x - 10) = 9 - 3x - 17x + 10 \]

### Step 2: Combine like terms
Now, combine the constant terms and the terms with \(x\):

\[ 9 + 10 - 3x - 17x = 19 - 20x \]

### Step 3: Set the equation equal to -1
Now, we rewrite the equation:

\[ 19 - 20x = -1 \]

### Step 4: Isolate the variable term
To isolate the term with \(x\), subtract 19 from both sides:

\[ -20x = -1 - 19 \]
\[ -20x = -20 \]

### Step 5: Solve for \(x\)
Now, divide both sides by -20:

\[ x = \frac{-20}{-20} = 1 \]

### Conclusion
The value of \(x\) is \(1\).

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