Solve for x

Question

: 2x−4x−3=−27
.(1 point)
Responses

x=−12
x equals negative 12

x=−4
x equals negative 4

x=12
x equals 12

x=4
x equals 4

Answer 1

To solve the equation \( 2x - 4x - 3 = -27 \), we first combine like terms on the left side:

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

So the equation simplifies to:

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

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

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

This simplifies to:

\[ -2x = -24 \]

Now, we divide both sides by \( -2 \):

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

Thus, the solution is:

\[ x = 12 \]

Therefore, the correct response from the provided options is:

x = 12 (x equals 12)