Question

question
solve for ( x ):
( -8x - 8 = -5x + 13 )

Explanation:

Step1: Add \(8x\) to both sides

To get all \(x\)-terms on one side, we add \(8x\) to both sides of the equation \(-8x - 8 = -5x + 13\). This gives us \(-8 = 3x + 13\) (because \(-8x + 8x = 0\) on the left, and \(-5x + 8x = 3x\) on the right).

Step2: Subtract 13 from both sides

Now, we want to isolate the term with \(x\). So we subtract 13 from both sides. This results in \(-8 - 13 = 3x\), which simplifies to \(-21 = 3x\).

Step3: Divide by 3

To solve for \(x\), we divide both sides of the equation \(-21 = 3x\) by 3. So \(x=\frac{-21}{3}\).

Step4: Simplify the fraction

Simplifying \(\frac{-21}{3}\) gives us \(x = -7\).

Answer:

\(x = -7\)