Respuesta :

(I will be using "x" as the variable name instead of the f - there is some curse word filter that gets triggered on my response and I could not save it)

first simplify each side of the equation:

-x+2+4*x=8-3*x

3*x+2=-3*x+8

then solve for x:

0*x = 6

0 = 6

this equation is never true. This result means that there are no solutions for x that would satisfy the original equation. In other words the set of solutions is empty. let me know if you have questions

Answer: The value of f is 1.

Step-by-step explanation:

Since we have given that

[tex]-f+2+4f=8-3f[/tex]

We need to find the value of f :

1) First we gather the like terms together:

2) Solving the like terms

3)find the value of f.

[tex]-f+2+4f=8-3f\\\\3f+2=8-3f\\\\3f+3f=8-2\\\\6f=6\\\\f=\dfrac{6}{6}\\\\f=1[/tex]

Hence, the value of f is 1.