If 0.3x -0.37 = 0.37x -0.3, then x has the value

Options

A. 1
B. `-1`
C. `2`
D. `-2`

Answer

To solve the equation \(0.3x - 0.37 = 0.37x - 0.3\), we will follow these steps:

### Step 1: Rearrange the equation
We start with the equation:
\[ 0.3x - 0.37 = 0.37x - 0.3 \]

To isolate the terms involving \(x\), we can move \(0.3x\) to the right side and \(-0.3\) to the left side:
\[ -0.37 + 0.3 = 0.37x - 0.3x \]

### Step 2: Simplify both sides
Now we simplify both sides:
\[ -0.37 + 0.3 = (0.37 - 0.3)x \]
Calculating the left side:
\[ -0.37 + 0.3 = -0.07 \]
And the right side:
\[ (0.37 - 0.3)x = 0.07x \]
So we have:
\[ -0.07 = 0.07x \]

### Step 3: Solve for \(x\)
Now we can solve for \(x\) by dividing both sides by \(0.07\):
\[ x = \frac{-0.07}{0.07} \]
This simplifies to:
\[ x = -1 \]

### Final Answer
Thus, the value of \(x\) is:
\[ \boxed{-1} \]

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