Solve (5w-8)/3 = 4w + 2[

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