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.