Answer:
x = 11/4
Step-by-step explanation:
[tex]\frac{x+8}{4} = \frac{6x+5}{8}[/tex]
Step 1: Cross-multiply.
[tex](x+8)*(8)=(6x+5)*(4)[/tex]
[tex]8x+64=24x+20[/tex]
Step 2: Subtract 24x from both sides.
[tex]8x+64-24x=24x+20-4x[/tex]
[tex]-16x+64=20[/tex]
Step 3: Subtract 64 from both sides.
[tex]-16x+64-64=20-64[/tex]
[tex]-16x=-44[/tex]
Step 4: Divide both sides by -16.
[tex]\frac{-16x}{-16} = \frac{-44}{-16}[/tex]
[tex]x = \frac{11}{4}[/tex]
