Respuesta :

Space

Answer:

x = 6

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 Equation

6 - 4x = 7x - 9x - 6

Step 2: Solve for x

  1. Combine like terms:                    6 - 4x = -2x - 6
  2. Add 4x on both sides:                 6 = 2x - 6
  3. Add 6 on both sides:                   12 = 2x
  4. Divide 2 on both sides:               6 = x
  5. Rewrite:                                        x = 6

Step 3: Check

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

  1. Substitute in x:                    6 - 4(6) = 7(6) - 9(6) - 6
  2. Multiply:                               6 - 24 = 42 - 54 - 6
  3. Subtract:                              -18 = -12 - 6
  4. Subtract:                              -18 = -18

Here we see that -18 does indeed equal -18.

∴ x = 6 is the solution to the equation.

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