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Solve −5x − 5 = −3x + 1 for x.



Group of answer choices

x = −2

x = 3

x = 2

x = −3

1 answer

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:

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

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

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

This simplifies to:

\[ -2x = 6 \]

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

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

So, the solution is:

\[ x = -3 \]

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