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Step-by-step explanation:

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Answer:

[tex]x = -6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]x - 2 = \frac{5x - 2}{4}[/tex]

Step 2: Solve for x

  1. Multiply 4 on both sides:                    [tex]4(x - 2) = 5x - 2[/tex]
  2. Distribute 4:                                         [tex]4x - 8 = 5x - 2[/tex]
  3. Subtract 4x on both sides:                 [tex]-8 = x - 2[/tex]
  4. Add 2 on both sides:                          [tex]-6 = x[/tex]
  5. Rewrite:                                               [tex]x = -6[/tex]
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