Question

Solve for w.

1/3w + 5/6w - 2 = -w

Answer 1

Explanation:

1/3w + 5/6w - 2 = -w Collect like terms on the left.

Before I do, I'm going to assume the question is (1/3)w + (5/6)w - 2 = - w

(1/3)w + (5/6)w - 2 = - w

1/3 + 5/6 = 2/6 + 5/6 = 7/6

(7/6)w - 2 = -w Add w to both sides

(7/6)w + w - 2 = 0 Combine the left

(7/6)w + 6/6 w - 2 = 0

(13 / 6) w - 2 = 0 Add 2 to both sides

(13/ 6) w = 2 Divide by 13/6

w = (2/1 ) ÷ (13/6) Invert the denominator and multiply

w = 2/1 * 6/13

w = 12/13

Answer 2

Answer:
`w=(12)/(13)`

Explanation:

To solve for w, we want to isolate the variable.

`(1)/(3)w +(5)/(6)w-2=-w` [add both sides by 2 and w]

`(1)/(3)w +(5)/(6)w+w=2` [convert to same denominator]

`(2)/(6)w +(5)/(6)w+(6)/(6) w=2` [add]

`(13)/(6) w=2` [multiply both sides by 6/13]

`w=(12)/(13)`

Now we know that
`w=(12)/(13)`.