2/3x-4=8 is a simple equation that can be solved to find the value of x. Let’s break it down step by step:

- Start by isolating the variable term, which in this case is 2/3x. To do this, we need to get rid of the constant term (-4) on the left side of the equation. We can do this by adding 4 to both sides:2/3x – 4 + 4 = 8 + 4Simplifying the equation, we have:2/3x = 12
- Now, we want to get rid of the coefficient (2/3) that is multiplying x. To do this, we can multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:(3/2) * (2/3x) = (3/2) * 12Simplifying further, we get:(3/2) * (2/3) * x = 36/2The 2’s cancel out, and we are left with:x = 36/2
- Finally, we simplify the right side of the equation:x = 18

So, the value of x that satisfies the equation 2/3x – 4 = 8 is x = 18.

Example:

Let’s substitute the value of x we found (x = 18) back into the original equation and verify if it holds true:

2/3(18) – 4 = 8

36/3 – 4 = 8

12 – 4 = 8

8 = 8

The equation holds true, which confirms that our solution for x is correct.

To summarize:

- The equation 2/3x – 4 = 8 can be solved by isolating the variable term and simplifying the equation step by step.
- Adding 4 to both sides eliminates the constant term on the left side.
- Multiplying both sides by the reciprocal of 2/3 removes the coefficient multiplying x.
- Simplifying the equation gives us the solution x = 18.
- Verifying the solution by substituting it back into the original equation confirms its correctness.

I hope this explanation helps you understand how to solve the equation 2/3x – 4 = 8. If you have any further questions, feel free to ask!