Answer:
x = -19.75
Step-by-step explanation:
[tex]\frac{1}{2}(4x-5) +52 =10[/tex]
[tex]\frac{4x-5}{2}+ 52 = 10[/tex]
[tex]\frac{4x-5+ 52\times 2}{2} = 10[/tex]
[tex]4x-5+ 104 = 10 \times 2[/tex]
[tex]4x+99 = 20[/tex]
[tex]4x = 20-99[/tex]
[tex]4x = -79[/tex]
[tex]x= -\frac{79}{4}[/tex]
[tex]x= -19.75[/tex]