Respuesta :

For this problem, we need to solve the following expression:

[tex]\frac{1}{4}x+\frac{1}{2}=5(\frac{5}{6}x+5)[/tex]

For that, we need to isolate the x variable on the left side:

[tex]\begin{gathered} \frac{1}{4}x+\frac{1}{2}=\frac{25}{6}x+25\\ \\ \frac{25}{6}x-\frac{1}{4}x=\frac{1}{2}-25\\ \\ \frac{2\cdot25x-3x}{12}=\frac{1-50}{2}\\ \\ \frac{47x}{12}=-\frac{49}{2}\\ \\ x=-\frac{12\cdot49}{2\cdot47}\\ \\ x=-\frac{588}{94}=-\frac{294}{47} \end{gathered}[/tex]

The value for x is equal to -294/47.