2X+2=8-X

The answer I got was X=3. Is this correct?

2X+2=8-X

2x + x = 8 - 2

3x = 6

x = 2

Let's verify if your answer, X = 3, is correct by solving the equation step by step.

The given equation is 2X + 2 = 8 - X.

To solve for X, we need to isolate the variable on one side of the equation.

Step 1: Combine like terms
On the left side of the equation, we have 2X. On the right side, we have -X. So, let's combine these terms to simplify the equation:
2X + X + 2 = 8.

After combining the X terms, the equation becomes:
3X + 2 = 8.

Step 2: Subtract 2 from both sides
We want to isolate the X term, so let's eliminate the constant term (2) on the left side by subtracting 2 from both sides of the equation:
3X + 2 - 2 = 8 - 2,
3X = 6.

Step 3: Divide by 3
To isolate the X variable, divide both sides of the equation by the coefficient of X, which is 3:
(3X) / 3 = 6 / 3,
X = 2.

The correct solution to the given equation is X = 2, not X = 3. Therefore, X = 3 is not the correct answer.