Solve for x: 2x - 4x - 3 = -27.

A. x = -12
B. x = 4
C. x = -4
D. x = 12

3 answers

Let's solve the equation step by step:

Given the equation:

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

First, combine the like terms on the left side:

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

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

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

This simplifies to:

\[ -2x = -24 \]

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

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

This simplifies to:

\[ x = 12 \]

Thus, the solution is:

D. x = 12

are you sure this is correct

Yes, let's double-check the solution step-by-step.

We start with the original equation:

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

  1. Combine the like terms \(2x\) and \(-4x\):

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

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

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

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

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

Thus, the solution is indeed:

D. x = 12

So yes, the result is correct. If you have any further questions or if there's something specific you would like to explore further, feel free to ask!