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Solve for x.

3x + 2 = x + 8
A.
1.5

B.
2.5

C.
3

D.
5

1 answer

To solve for \( x \) in the equation \( 3x + 2 = x + 8 \), we will follow these steps:

  1. Subtract \( x \) from both sides of the equation to get the \( x \) terms on one side: \[ 3x - x + 2 = 8 \] This simplifies to: \[ 2x + 2 = 8 \]

  2. Next, subtract 2 from both sides to isolate the term with \( x \): \[ 2x = 8 - 2 \] This simplifies to: \[ 2x = 6 \]

  3. Finally, divide both sides by 2 to solve for \( x \): \[ x = \frac{6}{2} \] This simplifies to: \[ x = 3 \]

Thus, the solution is \( x = 3 \), which corresponds to option C.