What is the solution to the equation 2x−1=4x+3 ? (1 point)

1 answer

To solve the equation \( 2x - 1 = 4x + 3 \), we can follow these steps:

  1. Move all terms involving \( x \) to one side and constant terms to the other side. Subtract \( 2x \) from both sides:

    \[ -1 = 4x - 2x + 3 \]

    This simplifies to:

    \[ -1 = 2x + 3 \]

  2. Now, subtract 3 from both sides:

    \[ -1 - 3 = 2x \]

    This simplifies to:

    \[ -4 = 2x \]

  3. Finally, divide both sides by 2:

    \[ x = -2 \]

Thus, the solution to the equation \( 2x - 1 = 4x + 3 \) is \( x = -2 \).