Question

$\frac{3x+4}{2}+1=\frac{5x+8}{8}$

Short answer

The value of$x=-\frac{16}{7}$

Step-by-step solution

- The given information

$\frac{3x+4}{2}+1=\frac{5x+8}{8}$

Step 2

$$\begin{gathered} \frac{3x+4}{2}+1=\frac{5x+8}{8} \\ \Rightarrow \frac{3x+4}{2}-\frac{5x+8}{8}=-1 \\ \Rightarrow \frac{4(3x+4)-(5x+8)}{8}=-1 \\ \Rightarrow \frac{12x+16-5x-8}{8}=-1 \\ \Rightarrow 7x+8=-8 \\ \Rightarrow 7x=-16 \\ \Rightarrow x=-\frac{16}{7} \end{gathered}$$