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

w = 9

Step-by-step explanation:

1/2w + 7 = 2w - 2 < = Because 1/2 is a fraction, difficult to work with, I will multiply the entire equation by 2.

[1/2w + 7 = 2w - 2]*2

2w + 14 = 4w - 4

Using this equation, isolate w to solve:

Since there are variables and constants on both sides, separate them.

2w + 14 - 2w = 4w - 4 - 2w < = subtract 2w from both sides

14 = 2w - 4 < = only have variables on one side

14 + 4 = 2w - 4 + 4 < = add 4 to both sides

18 = 2w < = variables and constants are separated

18/2 = 2w/2 <=divide both sides by 2

9 = w

w = 9 < = variable on left side is standard formatting