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