Question

Solve the multi-step equation by combining like terms and using inverse operations and the properties of equality.

Equation: –4x – 5 + 2x = –11

What is the value for x?
x = –3
x = 1
x = 3
x = 8

Answer 1

To solve the equation \(-4x - 5 + 2x = -11\), we can follow these steps:

1. **Combine like terms**:
In the equation, we can combine the terms involving \(x\):
\[
-4x + 2x = -2x
\]
So, the equation simplifies to:
\[
-2x - 5 = -11
\]

2. **Isolate the term with \(x\)**:
Next, we add 5 to both sides to isolate the term with \(x\):
\[
-2x - 5 + 5 = -11 + 5
\]
This simplifies to:
\[
-2x = -6
\]

3. **Solve for \(x\)**:
Now, we can divide both sides by -2 to solve for \(x\):
\[
x = \frac{-6}{-2} = 3
\]

Thus, the value for \(x\) is \(3\).

So, the answer is:
\[
\boxed{3}
\]