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1 + 3x = x + 9

x = [?]

1 answer

To solve the equation \( 1 + 3x = x + 9 \), we can follow these steps:

  1. First, subtract \( x \) from both sides: \[ 1 + 3x - x = 9 \] This simplifies to: \[ 1 + 2x = 9 \]

  2. Next, subtract 1 from both sides: \[ 2x = 9 - 1 \] This simplifies to: \[ 2x = 8 \]

  3. Finally, divide both sides by 2: \[ x = \frac{8}{2} \] This simplifies to: \[ x = 4 \]

Thus, the solution is: \[ x = 4 \]