Respuesta :

we are given the function –2x – 4 + 5x = 8  and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:

-2x + 5x =8+4
Then, do the necessary operations.

3x = 12
x = 4.
The variable x has a value of 4.

The solution of the equation  [tex]-2x-4+5x=8\; {\rm {is}} \; \; x=4[/tex].

Step-by-step explanation:

Given: An equation [tex]-2x-4+5x=8[/tex].

For solving this equation, first of all we have to seperate the variable and constant.

[tex]-2x-4+5x=8[/tex]

     [tex]\\-2x+5x=8+4\\[/tex]                (Seperating the variable and constant)

                 [tex]3x=12\\\;[/tex]                    (Combine like terms [tex][(-2x+5x) \; \&\; (8+4)][/tex] )

                   [tex]x=\frac{12}{3} \\\;[/tex]                    (Using Distributive property)

                   [tex]x=4[/tex]

Therefore, the solution of equation is [tex]x=4[/tex].

Learn more about Linear equation here:

https://brainly.com/question/6378866?referrer=searchResults