Respuesta :

Answer:

do we put all numbers on one side

which is

-6=-6/4x

then we multiply by 4

-24=-6x

then divide by -6

x=4

Space

Answer:

[tex]x=4[/tex]

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

Step 1: Define equation

[tex]2=8-\frac{6}{4} x[/tex]

Step 2: Solve for x

  1. Subtract 8 on both sides:                    [tex]-6=-\frac{6}{4} x[/tex]
  2. Divide both sides by -6/4:                   [tex]4=x[/tex]
  3. Rewrite:                                                [tex]x=4[/tex]

Step 3: Check

Plug in x to verify it's a solution.

  1. Substitute:                    [tex]2=8-\frac{6}{4}(4)[/tex]
  2. Multiply:                        [tex]2=8-6[/tex]
  3. Subtract:                       [tex]2=2[/tex]
good job