Answer: [tex]-\frac{15}{2}[/tex] or -7.5
Step-by-step explanation:
[tex]\frac{1}{5} x + \frac{1}{4} = \frac{1}{2} (x+5)[/tex]
[tex]\frac{1}{5} x + \frac{1}{4} = \frac{1}{2}x + \frac{5}{2}[/tex]
[tex]\frac{1}{5} x + \frac{1}{4} - \frac{5}{2}= \frac{1}{2}x[/tex]
[tex]\frac{1}{4} - \frac{5}{2}= \frac{1}{2}x - \frac{1}{5} x[/tex]
[tex]-\frac{9}{4} = \frac{3}{10} x[/tex]
[tex]-\frac{9}{4} divide \frac{3}{10}= x[/tex]
[tex]x = -\frac{15}{2}[/tex]
