Question

solve for w.
2w + 10 = 8w - 116
x =__

Explanation:

Step1: Subtract 2w from both sides

To get all the w terms on one side, we subtract \(2w\) from both sides of the equation \(2w + 10 = 8w - 116\). This gives us \(10 = 6w - 116\).

Step2: Add 116 to both sides

Now, we want to isolate the term with w. So we add 116 to both sides of the equation \(10 = 6w - 116\). This results in \(10 + 116 = 6w\), which simplifies to \(126 = 6w\).

Step3: Divide both sides by 6

To solve for w, we divide both sides of the equation \(126 = 6w\) by 6. So, \(w=\frac{126}{6}\).

Step4: Calculate the value of w

Dividing 126 by 6 gives us \(w = 21\).

Answer:

\(w = 21\) (Note: There is a typo in the original problem where it says \(x=\) instead of \(w=\), but we solve for \(w\) as per the equation \(2w + 10 = 8w - 116\))