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 12

x=4
x equals 4

x=−12
x equals negative 12
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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 of the equation: \[ -2x - 3 + 3 = -27 + 3 \] \[ -2x = -24 \]

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

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

The correct response is: x = 12 (x equals 12)