Respuesta :

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]