$$ \begin{aligned} 4(x+2) &= 14+3x&& \text{simplify left and right hand side} \\[1 em]4x+8 &= 3x+14&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]4x-3x &= 14-8&& \text{simplify left and right hand side} \\[1 em]x &= 6&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$
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