Respuesta :

Space

Answer:

x = -20

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

2x - 12 = -52

Step 2: Solve for x

  1. Add 12 on both sides:                     2x = -40
  2. Divide 2 on both sides:                   x = -20

Step 3: Check

Plug in x into the original equation to verify it's a solution.

  1. Substitute in x:                      2(-20) - 12 = -52
  2. Multiply:                                 -40 - 12 = -52
  3. Subtract:                                -52 = -52

Here we see that -52 does indeed equal -52.

∴ x = -20 is the solution to the equation.

Answer:

[tex]2x - 12 = - 52 \\ 2x = - 52 + 12 \\ 2x = - 40 \\ \boxed{x = - 20}[/tex]

-20 is the right answer.