Respuesta :

Space

Answer:

x = 3

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

4x + 9 = 2x + 15

Step 2: Solve for x

  1. Subtract 2x on both sides:                    2x + 9 = 15
  2. Subtract 9 on both sides:                      2x = 6
  3. Divide 2 on both sides:                          x = 3

Step 3: Check

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

  1. Substitute in x:                    4(3) + 9 = 2(3) + 15
  2. Multiply:                               12 + 9 = 6 + 15
  3. Add:                                     21 = 21

Here we see that 21 does indeed equal 21.

∴ x = 3 is the solution to the equation.