Question

question
solve for x:
-2x - 1 = -7x + 44

Explanation:

Step1: Add 7x to both sides

To get all the x terms on one side, we add \(7x\) to both sides of the equation \(-2x - 1 = -7x + 44\). This gives us \(-2x + 7x - 1 = -7x + 7x + 44\), which simplifies to \(5x - 1 = 44\).

Step2: Add 1 to both sides

Next, we add 1 to both sides to isolate the term with x. So, \(5x - 1 + 1 = 44 + 1\), which simplifies to \(5x = 45\).

Step3: Divide by 5

Finally, we divide both sides by 5 to solve for x. \(\frac{5x}{5} = \frac{45}{5}\), so \(x = 9\).

Answer:

\(x = 9\)