Find the value of x.

3x-5=7-x

Answer

To solve the equation \(3x - 5 = 7 - x\), we will follow these steps:

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

\[ 3x - 5 + x = 7 - x + x \]

This simplifies to:

\[ 3x + x - 5 = 7 \]

### Step 2: Combine like terms.
Now, combine the \(x\) terms on the left side:

\[ 4x - 5 = 7 \]

### Step 3: Move the constant term to the other side.
Next, we will add \(5\) to both sides to isolate the term with \(x\):

\[ 4x - 5 + 5 = 7 + 5 \]

This simplifies to:

\[ 4x = 12 \]

### Step 4: Solve for \(x\).
Now, divide both sides by \(4\) to solve for \(x\):

\[ x = \frac{12}{4} \]

This simplifies to:

\[ x = 3 \]

### Final Answer:
The value of \(x\) is \(3\).

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