Respuesta :

Space

Answer:

x = -9

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

3(x + 1) - 2x = -6

Step 2: Solve for x

  1. Distribute 3:                    3x + 3 - 2x = -6
  2. Combine like terms:       x + 3 = -6
  3. Isolate x:                          x = -9

Step 3: Check

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

  1. Substitute in x:                    3(-9 + 1) - 2(-9) = -6
  2. Add:                                     3(-8) - 2(-9) = -6
  3. Multiply:                               -24 + 18 = -6
  4. Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = -9 is the solution to the equation.

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