$$ \begin{aligned} 2(x+4)-3 &= x+9&& \text{simplify left side} \\[1 em]2x+8-3 &= x+9&& \\[1 em]2x+5 &= x+9&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]2x-x &= 9-5&& \text{simplify left and right hand side} \\[1 em]x &= 4&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$
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