Please solve. 7(w+2)/12 = 2(w-7)/6
multiply each side by 12
7(w+2) = 4(w-7)
7w + 14 = 4w - 28
3w = -42
w =-14
(7w +14)/12 = (2w - 14)/6
7w +14 = 4w - 28
7w - 4w + 14 = 4w - 4w - 28
3w + 14 = -28
3w + 14-14 = - 28 -14
3w = -42
w = -14
To solve the equation 7(w+2)/12 = 2(w-7)/6, we can follow these steps:
Step 1: Distribute the fractions:
7w/12 + 14/12 = 2w/6 - 14/6
Step 2: Simplify the fractions:
7w/12 + 14/12 = w/3 - 14/6
Step 3: Find a common denominator for the fractions on both sides of the equation. In this case, the common denominator is 12:
7w/12 + 14/12 = w/3 - 28/12
Step 4: Combine like terms:
(7w + 14)/12 = (w - 28)/12
Step 5: Since the denominators are the same, we can eliminate them:
7w + 14 = w - 28
Step 6: Solve for w:
7w - w = -28 - 14
6w = -42
w = -42/6
w = -7
Therefore, the solution to the equation 7(w+2)/12 = 2(w-7)/6 is w = -7.