Solve `(x-1)-3(x-1)+2=0`

Answer

To solve the equation \((x-1) - 3(x-1) + 2 = 0\), we can follow these steps:

### Step 1: Simplify the equation
Start with the original equation:
\[ (x - 1) - 3(x - 1) + 2 = 0 \]

### Step 2: Distribute the \(-3\)
Distribute \(-3\) across \((x - 1)\):
\[ (x - 1) - 3x + 3 + 2 = 0 \]

### Step 3: Combine like terms
Now, combine the like terms:
- For the \(x\) terms: \(x - 3x = -2x\)
- For the constant terms: \(-1 + 3 + 2 = 4\)

So, we have:
\[ -2x + 4 = 0 \]

### Step 4: Isolate \(x\)
Now, isolate \(x\) by moving \(4\) to the other side:
\[ -2x = -4 \]

### Step 5: Solve for \(x\)
Divide both sides by \(-2\):
\[ x = \frac{-4}{-2} = 2 \]

### Final Answer
Thus, the solution to the equation is:
\[ x = 2 \]

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