Question
$$3(4x-6) = 2(6x-9)$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} 3(4x-6) &= 2(6x-9)&& \text{simplify left and right hand side} \\[1 em]12x-18 &= 12x-18&& \text{move the $ \color{blue}{ 12x } $ to the left side and $ \color{blue}{ -18 }$ to the right} \\[1 em]12x-12x &= -18+18&& \text{simplify left and right hand side} \\[1 em]12x-12x &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 0 = 0 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
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