Question

Solve Multi-Step Linear Equations Quick Check 3 of 53 of 5 Items Question Solve for x: 2x−4x−3=−27 .(1 point) Responses x=−4 x equals negative 4 x=4 x equals 4 x=−12 x equals negative 12 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 of the equation to isolate the term with \( x \):
\[
-2x - 3 + 3 = -27 + 3
\]
Simplifying this gives:
\[
-2x = -24
\]

3. Now divide both sides by -2 to solve for \( x \):
\[
x = \frac{-24}{-2} = 12
\]

Thus, the solution is \( x = 12 \).

The correct response is:
**x = 12**.