Solve Multi-Step Linear Equations Quick Check

Question

3 of 53 of 5 Items

Question
Solve for x : 2x−4x−3=−27 .(1 point)
Responses

x=−4
x equals negative 4

x=−12
x equals negative 12

x=4
x equals 4

x=12

Answer 1

To solve the equation \(2x - 4x - 3 = -27\), follow these steps:

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

2. Add 3 to both sides to isolate the terms with \(x\): \[ -2x - 3 + 3 = -27 + 3 \] This simplifies to: \[ -2x = -24 \]

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

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

The correct response is: x=12