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What is the solution to the equation 2x - 1 = 4x + 3?

Responses

-0.75

-2

-5

0

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. Start by subtracting \( 2x \) from both sides: \[ -1 = 4x - 2x + 3 \] This simplifies to: \[ -1 = 2x + 3 \]

  2. Next, 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 \( x = -2 \).

The correct response is \(-2\).