Question

question
solve for x:
-8x - 9 = -3x + 16

Explanation:

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

To get all \(x\)-terms on one side, we add \(8x\) to both sides of the equation \(-8x - 9 = -3x + 16\). This gives \(-8x - 9 + 8x = -3x + 16 + 8x\), which simplifies to \(-9 = 5x + 16\).

Step2: Subtract 16 from both sides

Next, we subtract 16 from both sides to isolate the term with \(x\). So, \(-9 - 16 = 5x + 16 - 16\), which simplifies to \(-25 = 5x\).

Step3: Divide by 5

Finally, we divide both sides by 5 to solve for \(x\). \(\frac{-25}{5}=\frac{5x}{5}\), which gives \(x = -5\).

Answer:

\(x = -5\)