$$ \begin{aligned} 4x+3+3x &= 2x+13&& \text{simplify left side} \\[1 em]7x+3 &= 2x+13&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]7x-2x &= 13-3&& \text{simplify left and right hand side} \\[1 em]5x &= 10&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{10}{5}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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