Solve: `5x-6=4x-2`

Options

A. `x=2`
B. `x=3`
C. `x=4`
D. `x=5`

Answer

To solve the equation \(5x - 6 = 4x - 2\), we will follow these steps:

### Step 1: Move all terms involving \(x\) to one side of the equation.
We can subtract \(4x\) from both sides of the equation:

\[ 5x - 4x - 6 = -2 \]

### Step 2: Simplify the equation.
Now, simplify the left side:

\[ (5x - 4x) - 6 = -2 \]

This simplifies to:

\[ x - 6 = -2 \]

### Step 3: Move the constant term to the other side.
Next, we will add \(6\) to both sides of the equation:

\[ x - 6 + 6 = -2 + 6 \]

### Step 4: Simplify again.
This simplifies to:

\[ x = 4 \]

### Final Answer:
The solution to the equation \(5x - 6 = 4x - 2\) is:

\[ x = 4 \]

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