Solve for x : 2x−4x−3=−27 .(1 point) Responses x=4 x equals 4 x=−4 x equals negative 4 x=12 x equals 12 x=−12

Answer 1

Let's solve the equation step by step:

The equation is:

\[ 2x - 4x - 3 = -27 \]

First, combine like terms (the terms with \(x\)):

\[ (2x - 4x) - 3 = -27 \] \[ -2x - 3 = -27 \]

Next, add 3 to both sides to isolate the term with \(x\):

\[ -2x - 3 + 3 = -27 + 3 \] \[ -2x = -24 \]

Now, divide both sides by -2 to solve for \(x\):

\[ x = \frac{-24}{-2} \] \[ x = 12 \]

Thus, the solution for \(x\) is:

\[ x = 12 \]

Therefore, the correct response is \( x = 12 \).