Question
$$6(4x+2) = 3(8x+4)$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} 6(4x+2) &= 3(8x+4)&& \text{simplify left and right hand side} \\[1 em]24x+12 &= 24x+12&& \text{move the $ \color{blue}{ 24x } $ to the left side and $ \color{blue}{ 12 }$ to the right} \\[1 em]24x-24x &= 12-12&& \text{simplify left and right hand side} \\[1 em]24x-24x &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
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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