Respuesta :

Your answer would be x = -15.8994.

To get this, you first add 7 to each side making the equation -4.818 = x/3.3

Then, you would need to multiply each side by 3.3 to get x by itself.

Your answer would be -15.8994.

Answer:

[tex]x=-15.8994[/tex]

Step-by-step explanation:

Skills needed: Solving one variable equations, Multiplication

1) We are given: [tex]-11.818=-7+\frac{x}{3.3}[/tex], and we need to solve for "[tex]x[/tex]"

2) In order to do this, you need to isolate the variable. In other words, you need to make sure the term involving  "[tex]x[/tex]" is on one side of the equation, while everything else is on the other side.

  • In this case, the term involving  "[tex]x[/tex]" is: [tex]\frac{x}{3.3}[/tex]
  • In order to isolate [tex]\frac{x}{3.3}[/tex], you need to get rid of the "-7" on the right side. To get rid of it, we can add 7 to both sides.

3) [tex]-11.818+7 = -7+\frac{x}{3.3} +7[/tex]

[tex]-11.818+7=-4.818[/tex]

-7 and 7 on the right side cancel out.

4) So you are left with: [tex]-4.818=\frac{x}{3.3}[/tex]

  • To get "[tex]x[/tex]", you need to multiply both sides by 3.3
  • If you do this, the denominator will get cancelled out, leaving us with    "[tex]x[/tex]" equaling a value.

5) So then: [tex]-4.818 * 3.3 = x[/tex] (that star sign in between -4.818 and 3.3 is a multiplication sign)

[tex]-4.818*3.3 = -15.8994[/tex], so [tex]x = -15.8994[/tex]

Hope this helps and have a nice day!! :] :) :D