Four points are plotted on a coordinate plane, forming two intersecting lines.

Question

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

(1 point)
Responses

−2
negative 2

0
0

−5
negative 5

−0.75

Answer 1

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

1. Start by isolating the variable \( x \):

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

2. Subtract \( 2x \) from both sides:

   \[ -1 = 2x + 3 \]

3. Next, subtract 3 from both sides:

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

4. Now, divide both sides by 2:

   \[ x = -2 \]

The solution to the equation is \( \boxed{-2} \).