Question

solve for w.
5(w + 2) = -2(3w - 1) + w
simplify your answer as much as possible.
w =

Explanation:

Step1: Expand both sides

Expand the left side: \(5(w + 2)=5w + 10\)
Expand the right side: \(-2(3w - 1)+w=-6w + 2 + w=-5w + 2\)
So the equation becomes \(5w + 10=-5w + 2\)

Step2: Add \(5w\) to both sides

\(5w + 5w+ 10=-5w + 5w+ 2\)
Simplify to \(10w + 10 = 2\)

Step3: Subtract 10 from both sides

\(10w + 10-10 = 2-10\)
Simplify to \(10w=-8\)

Step4: Divide both sides by 10

\(w=\frac{-8}{10}\)
Simplify the fraction to \(w = -\frac{4}{5}\)

Answer:

\(w = -\frac{4}{5}\)