Question

What is the value of w in the equation `1/2w+7=2w-2`?

Answer 1

`w=6`

Explanation:

`1/2w+7=2w-2`
First, subtract `2w` from each side.
`-3/2w+7=-2`
Next, subtract 7 from each side.
`-3/2w=-9`
Finally, multiply each side by the reciprocal of the coefficient of `w`, which is `-3/2`. (Multiply each side by `-2/3`)
`w=6`