$$ \begin{aligned} 4x+3 &= 3\cdot(1+x)&& \text{simplify right side} \\[1 em]4x+3 &= 3+3x&& \\[1 em]4x+3 &= 3x+3&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]4x-3x &= 3-3&& \text{simplify left and right hand side} \\[1 em]x &= 0&& \text{ divide both sides by $ 1 $ } \\[1 em]x &= \frac{0}{1}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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