Question

Solve −5x − 5 = −3x + 1 for x.



Group of answer choices

x = −2

x = 3

x = 2

x = −3

Answer 1

To solve the equation \(-5x - 5 = -3x + 1\), we can start by isolating the variable \(x\).

1. Add \(5\) to both sides of the equation:

\[
-5x = -3x + 1 + 5
\]

This simplifies to:

\[
-5x = -3x + 6
\]

2. Now, add \(3x\) to both sides:

\[
-5x + 3x = 6
\]

This simplifies to:

\[
-2x = 6
\]

3. Finally, divide both sides by \(-2\):

\[
x = \frac{6}{-2} = -3
\]

So, the solution is:

\[
x = -3
\]

The answer is \(x = -3\).