Respuesta :

Space

Answer:

x = -19/6

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

2x + 10 = -4x - 9

Step 2: Solve for x

  1. Add 4x on both sides:                    6x + 10 = -9
  2. Subtract 10 on both sides:             6x = -19
  3. Divide 6 on both sides:                  x = -19/6

Step 3: Check

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

  1. Substitute in x:                    2(-19/6) + 10 = -4(-19/6) - 9
  2. Multiply:                               -19/3 + 10 = 38/3 - 9
  3. Add/Subtract:                      11/3 = 11/3

Here we see that 11/3 does indeed equal 11/3.

∴ x = -19/6 is the solution to the equation.

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