Question

To rewrite the equation \( \frac{4x}{3x - 12} + 3 = 10 \) in a more concise form, we can follow these steps:
1. Start with the original equation:
\[
\frac{4x}{3x - 12} + 3 = 10
\]

2. Subtract 3 from both sides:
\[
\frac{4x}{3x - 12} = 7
\]

Now, we can express this as two separate equations:

1. The first equation is:
\[
\frac{4x}{3x - 12} = 7
\]

2. The second equation can be simplified to:
\[
3 = 3
\]

Therefore, the final concise version, focusing on the meaningful part, is:
\[
\frac{4x}{3x - 12} = 7 \quad \text{and} \quad 10 - 3 = 7
\]

Alternatively, if you want to keep it simpler:
\[
\frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3 = 3
\]

However, since \(3 = 3\) is always true, you can just focus on the significant equation.

make this like a 6th grader wrote it

Answer 1

Sure! Here’s how a 6th grader might rewrite it:

1. We start with the equation:
\[
\frac{4x}{3x - 12} + 3 = 10
\]

2. First, let’s get rid of the +3. We do that by subtracting 3 from both sides:
\[
\frac{4x}{3x - 12} = 7
\]

Now we have a simpler equation to work with!

So, we can say:
1. The important equation is:
\[
\frac{4x}{3x - 12} = 7
\]

2. And the other part, which says \(3 = 3\), is always true, so we don’t need to worry about that.

In the end, we should just focus on this important equation:
\[
\frac{4x}{3x - 12} = 7
\]

That’s all we need!