Respuesta :

Answer:

x=-11

Step-by-step explanation:

3+3x=6=-24

3x+9=-24

3x=-33

x=-11

Space

Answer:

x = -11

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 + 3(x + 2) = -24

Step 2: Solve for x

  1. Distribute 3:                    3 + 3x + 6 = -24
  2. Combine like terms:       3x + 9 = -24
  3. Isolate x term:                 3x = -33
  4. Isolate x:                          x = -11

Step 3: Check

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

  1. Substitute in x:                    3 + 3(-11 + 2) = -24
  2. Add:                                     3 + 3(-9) = -24
  3. Multiply:                               3 - 27 = -24
  4. Subtract:                              -24 = -24

Here we see that -24 does indeed equal -24.

∴ x = -11 is the solution to the equation.