Question
$$6(x+1)+6 = 2x+4\cdot(2+x)$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 6(x+1)+6 &= 2x+4\cdot(2+x)&& \text{simplify left and right hand side} \\[1 em]6x+6+6 &= 2x+8+4x&& \\[1 em]6x+12 &= 6x+8&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 12 }$ to the right} \\[1 em]6x-6x &= 8-12&& \text{simplify left and right hand side} \\[1 em]6x-6x &= -4&& \\[1 em]0 &= -4&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 0 = -4 } $ is FALSE, we conclude that the equation has no solution.
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