Question

solve the following equation for w. 2(3w - 6) = 5w + 8

Explanation:

Step1: Expand the left - hand side

$2(3w - 6)=6w-12$, so the equation becomes $6w - 12=5w + 8$.

Step2: Subtract $5w$ from both sides

$6w-5w - 12=5w-5w + 8$, which simplifies to $w-12 = 8$.

Step3: Add 12 to both sides

$w-12 + 12=8 + 12$.

Answer:

$w = 20$