Question

solve for w.
5(w - 4) - 2 = -2(-6w + 4) - 3w
simplify your answer as much as possible.

Explanation:

Step1: Expand both sides

$5w - 20 - 2 = 12w - 8 - 3w$

Step2: Simplify each side

$5w - 22 = 9w - 8$

Step3: Isolate w terms to one side

$5w - 9w = -8 + 22$

Step4: Combine like terms

$-4w = 14$

Step5: Solve for w

$w = \frac{14}{-4} = -\frac{7}{2}$

Answer:

$w = -\frac{7}{2}$