$$ \begin{aligned} \frac{4+1}{2} &= x+3&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{4+1}{2} &= 2x+2\cdot3&& \text{cancel out the denominators} \\[1 em]5 &= 2x+6&& \text{ swap the left and right side of the equation } \\[1 em]2x+6 &= 5&& \text{ move 6 to the right } \\[1 em]2x &= 5-6&& \\[1 em]2x &= -1&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{1}{2}&& \\[1 em] \end{aligned} $$

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