Question

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

Responses

-0.75

-2

-5

0

Answer 1

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 \(-2\).