Solve for x

Question

: 2x−4x−3=−27
.(1 point)
Responses

x=4
x equals 4

x=12
x equals 12

x=−4
x equals negative 4

x=−12
x equals negative 12

Answer 1

To solve the equation \( 2x - 4x - 3 = -27 \), first simplify the left side:

1. Combine like terms: \[ 2x - 4x = -2x \] So the equation becomes: \[ -2x - 3 = -27 \]

2. Next, add 3 to both sides: \[ -2x - 3 + 3 = -27 + 3 \] This simplifies to: \[ -2x = -24 \]

3. Now, divide both sides by -2: \[ x = \frac{-24}{-2} = 12 \]

Thus, the solution is: \[ x = 12 \]

The correct response is: x equals 12.