$$\frac{2x+5}{x+4} = 1$$

$$ \begin{aligned} \frac{2x+5}{x+4} &= 1&& \text{multiply ALL terms by } \color{blue}{ x+4 }. \\[1 em](x+4)\frac{2x+5}{x+4} &= (x+4)\cdot1&& \text{cancel out the denominators} \\[1 em]2x+5 &= x+4&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]2x-x &= 4-5&& \text{simplify left and right hand side} \\[1 em]x &= -1&& \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$

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