3x + x + x + x − 3 − 2 = 7 + x + x
In the equation above, what is the value of x ?

Options

A. `-5/7`
B. 1
C. `12/7`
D. 3

Explanation

To solve the equation \(3x + x + x + x - 3 - 2 = 7 + x + x\), we will follow these steps:

### Step 1: Simplify both sides of the equation
Combine like terms on both sides of the equation.

On the left side:
- Combine the \(x\) terms: \(3x + x + x + x = 6x\)
- Combine the constants: \(-3 - 2 = -5\)

So, the left side simplifies to:
\[ 6x - 5 \]

On the right side:
- Combine the \(x\) terms: \(x + x = 2x\)
- The constant remains \(7\)

So, the right side simplifies to:
\[ 7 + 2x \]

Now, the equation looks like:
\[ 6x - 5 = 7 + 2x \]

### Step 2: Move all \(x\) terms to one side
To isolate \(x\), we will subtract \(2x\) from both sides:
\[ 6x - 2x - 5 = 7 \]

This simplifies to:
\[ 4x - 5 = 7 \]

### Step 3: Move the constant 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 find the value of \(x\):
\[ x = \frac{12}{4} \]

This simplifies to:
\[ x = 3 \]

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

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