If `2x-3=x+2`, then `x = ?`

Options

A. `1`
B. `3`
C. `5`
D. `7`

Answer

To solve the equation \(2x - 3 = x + 2\), we will follow these steps:

### Step 1: Write down the equation
We start with the equation:
\[ 2x - 3 = x + 2 \]

### Step 2: Move all terms involving \(x\) to one side
To isolate \(x\), we will subtract \(x\) from both sides of the equation:
\[ 2x - x - 3 = 2 \]
This simplifies to:
\[ x - 3 = 2 \]

### Step 3: Move constant terms to the other side
Next, we will add \(3\) to both sides to isolate \(x\):
\[ x - 3 + 3 = 2 + 3 \]
This simplifies to:
\[ x = 5 \]

### Conclusion
The value of \(x\) is:
\[ \boxed{5} \]

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