When it comes to understanding the equation 2(3x+4)=8, it might seem a bit confusing at first. But worry not! I’ll break it down for you in a clear and concise manner. Let’s dive in:

First, let’s understand the equation itself: 2(3x+4)=8. This equation involves a variable, represented by ‘x’, and our goal is to find the value of ‘x’ that satisfies the equation.

To solve this equation, follow these steps:

  1. Distribute the 2 to both terms inside the parentheses:
    • 2 * 3x + 2 * 4 = 8
    • Simplify further: 6x + 8 = 8
  2. Next, isolate the variable term. In this case, we want to get rid of the constant term (+8) on the same side as the variable. To do this, subtract 8 from both sides of the equation:
    • 6x + 8 – 8 = 8 – 8
    • Simplifying further: 6x = 0
  3. Now, we only have one term left with the variable. To solve for ‘x’, divide both sides of the equation by the coefficient of ‘x’, which is 6:
    • (6x) / 6 = 0 / 6
    • Simplifying further: x = 0

Hence, the solution to the equation 2(3x+4)=8 is x = 0.

Let me provide an example to illustrate how this equation works:

Example: Let’s substitute the value of ‘x’ as 1 into the equation and see if it holds true: 2(3*1+4)=8 2(3+4)=8 2(7)=8 14=8

As you can see, the equation doesn’t balance when ‘x’ is 1. Therefore, 1 is not a valid solution.

I hope this explanation has helped you understand how to solve the equation 2(3x+4)=8. Remember, the key steps are: distribute, isolate the variable, and solve. Practice with more examples to reinforce your understanding. Happy learning!

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