Question

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

Answer 1

$\frac{1}{2} w + 7 = 2w - 2$

First, replace the numerator with 'w'.
$\frac{w}{2} +7=2w-2$
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'.
$\frac{18}{3} =w$
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