$$ \begin{aligned} 4x+15 &= x+3&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ 15 }$ to the right} \\[1 em]4x-x &= 3-15&& \text{simplify left and right hand side} \\[1 em]3x &= -12&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= -\frac{12}{3}&& \\[1 em]x &= -4&& \\[1 em] \end{aligned} $$
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