Answer:
w = -2
Step-by-step explanation:
(5w - 8)/3 = 4w + 2
First, we will distribute the division problem on the left.
5w/3 - 8/3 = 4w + 2
Next, subtract 4w from both sides
5w/3 - 8/3 - 4w = 4w + 2 - 4w
We have to turn 4w on the left side into a fraction, but we have to make sure they are like fractions (meaning they have the same denominator).
5w/3 - 8/3 - 12w/3 = 2
5w/3 and -12w/3 are like terms (same variables) so we will subtract -12w/3 from 5w/3
-7w/3 - 8/3 = 2
Now, we will add 8/3 to both sides
-7w/3 - 8/3 + 8/3 = 2 + 8/3
to add 2 and 8/3 together, we need to make them like fractions
-7w/3 = 6/3 + 8/3
-7w/3 = 14/3
Now we get rid of the 3 by mutliplying 3 to both sides
3 * (-7w/3) = 3 * (14/3)
-7w = 14
No we have to divide -7 to both sides
-7w/-7 = 14/-7
w = -2
