Respuesta :

Space

Answer:

k = 4

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

2(k - 5) + 3k = k + 6

Step 2: Solve for k

  1. Distribute 2:                               2k - 10 + 3k = k + 6
  2. Combine like terms:                  5k - 10 = k + 6
  3. Subtract k on both sides:          4k - 10 = 6
  4. Add 10 on both sides:               4k = 16
  5. Divide 4 on both sides:             k = 4

Step 3: Check

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

  1. Substitute in k:                    2(4 - 5) + 3(4) = 4 + 6
  2. (Parenthesis) Subtract:       2(-1) + 3(4) = 4 + 6
  3. Multiply:                               -2 + 12 = 4 + 6
  4. Add:                                     10 = 10

Here we see that 10 does indeed equal 10.

∴ k = 4 is the solution to the equation.

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