Question

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

Answer 1

`(1)/(2) w + 7 = 2w - 2`

First, replace the numerator with 'w'.

`(w)/(2) +7=2w-2`
Second, multiply both sides by 2.

`w + 14 = 4w - 2`
Third, subtract 'w' from both sides.

`14 = 4w - 4 - w`
Fourth, simplify to 3w - 4.

`14 = 3w - 4`
Fifth, add '4' to both sides.

`14+4=3w`
Sixth, add 14 + 4.

`18 = 3w`
Seventh, divide both sides by '3'.

`(18)/(3) =w`
Eighth, since 6 goes into 3 to get 18, simplify the fraction to 6.

`6 = w`
Ninth, switch the sides.

`w = 6`

Answer: w = 6