For what value of x do the expressions 2/3 x+2 and 4/3 x-6 have the same value?

If 2/3x + 2 and 4/3x - 6 had the same value, then x would have the value of 12.

Step-by-step 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.

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