Answer:
[tex]x=2[/tex]
Step-by-step explanation:
Combine: [tex]x[/tex] and [tex]\frac{1}{2}[/tex].
[tex]8-\frac{x}{2}=-6(\frac{3}{4}x-2)+4[/tex]
Simplify: [tex]-6 (\frac{3}{4}x -2)+4[/tex]
Combine (again.): [tex]8-\frac{x}{2}=-\frac{9x}{2}+16[/tex]
Move all terms containing [tex]x[/tex] to the left side of the equation. [tex]8+4x=16[/tex]
Move all terms not containing [tex]x[/tex] to the right side of the equation. [tex]4x=8[/tex]
Divide each term in [tex]4x=8[/tex] by [tex]4[/tex] and simplify. [tex]x=2[/tex]