Question

solve for w,
6w - 19 = 3w - 4
simplify your answer as much as possible.
w =

Explanation:

Step1: Subtract \(3w\) from both sides

To isolate the variable terms, we subtract \(3w\) from each side of the equation \(6w - 19 = 3w - 4\). This gives us \(6w - 3w - 19 = 3w - 3w - 4\), which simplifies to \(3w - 19 = -4\).

Step2: Add 19 to both sides

Next, we add 19 to both sides to isolate the term with \(w\). So, \(3w - 19 + 19 = -4 + 19\), which simplifies to \(3w = 15\).

Step3: Divide by 3

Finally, we divide both sides by 3 to solve for \(w\). \(\frac{3w}{3}=\frac{15}{3}\), so \(w = 5\).

Answer:

\(w = 5\)