Answer:
[tex]\boxed{x=5}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} (4x-5)+\frac{5}{2} =10[/tex]
→ Multiply everything by 2
[tex]1(4x-5)+5=20[/tex]
→ Expand out the bracket
[tex]4x-5+5=20[/tex]
→ Simplify
[tex]4x=20[/tex]
→ Divide both sides by 4 to isolate x
[tex]x=5[/tex]