Answer: If 2/3x + 2 and 4/3x - 6 had the same value, then x would have the value of 12.
Explanation:
2/3x + 2 = 4/3 x - 6 is our equation.
Let's start simplifying!
First, we'll subtract 2/3x from both sides.
2/3x - 2/3x + 2 = 4/3x - 2/3x - 6
2 = 2/3x - 6
Next, we'll add 6 to both sides.
2 + 6 = 2/3x -6 + 6
8 = 2/3x
We know that two-thirds of x is 8.
We'll divide both sides by 2 to get one third of x!
8/2 = 2/3x / 2
4 = 1/3x
Finally, let's multiply both sides by 3!
4 x 3 = 1/3x x 3
12 = x
If 2/3x + 2 and 4/3x - 6 had the same value, then x would have the value of 12.