Answer:
[tex]\boxed{\bold{One \ Solution}}[/tex]
Step By Step Explanation:
Expand [tex]\bold{4\left(x-1\right): \ 4x-4}[/tex]
Expand [tex]\bold{\frac{1}{2}\left(x-8\right): \ \frac{1}{2}x-4}[/tex]
[tex]\bold{4x-4=\frac{1}{2}x-4}[/tex]
Add 4 To Both Sides
[tex]\bold{4x-4+4=\frac{1}{2}x-4+4}[/tex]
Simplify
[tex]\bold{4x=\frac{1}{2}x}[/tex]
Subtract [tex]\bold{\frac{1}{2}x}[/tex] From Both Sides
[tex]\bold{4x-\frac{1}{2}x=\frac{1}{2}x-\frac{1}{2}x}[/tex]
Simplify
[tex]\bold{\frac{7}{2}x=0}[/tex]
Multiply Both Sides By 2
[tex]\bold{2\cdot \frac{7}{2}x=0\cdot \:2}[/tex]
Simplify
[tex]\bold{7x=0}[/tex]
Divide Both Sides By 7
[tex]\bold{\frac{7x}{7}=\frac{0}{7}}[/tex]
Simplify
[tex]\bold{x=0}[/tex]
- Mordancy