Rewrite the equation 4x/3x - 12 + 3 = 10 in two equations joined by "and."

To rewrite the equation \( \frac{4x}{3x - 12} + 3 = 10 \) as two equations joined by "and," we first isolate the fraction on one side:

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 write it in the form of two equations joined by "and":

\[
\frac{4x}{3x - 12} = 7 \quad \text{and} \quad 3x - 12 \neq 0
\]

The second equation \( 3x - 12 \neq 0 \) is included to ensure that the denominator is not zero.