$$ \begin{aligned} 11+3x &= 15x+3&& \text{move the $ \color{blue}{ 15x } $ to the left side and $ \color{blue}{ 11 }$ to the right} \\[1 em]3x-15x &= 3-11&& \text{simplify left and right hand side} \\[1 em]-12x &= -8&& \text{ divide both sides by $ -12 $ } \\[1 em]x &= \frac{-8}{-12}&& \\[1 em]x &= \frac{2}{3}&& \\[1 em] \end{aligned} $$
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