Respuesta :

Space

Answer:

x = 10

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

6(x - 1) = 9(x - 4)

Step 2: Solve for x

  1. Distribute:                                   6x - 6 = 9x - 36
  2. Subtract 6x on both sides:        -6 = 3x - 36
  3. Isolate x term:                             30 = 3x
  4. Isolate x:                                      10 = x
  5. Rewrite:                                       x = 10

Step 3: Check

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

  1. Substitute in x:                    6(10 - 1) = 9(10 - 4)
  2. Subtract:                              6(9) = 9(6)

Here we see that the 2 expressions are exactly the same.

∴ x = 10 is the solution to the equation.

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