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Please help me. Solve for x state the properties used. 5(x - 2) - 6 = 24

1 Answer

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Answer:

x = 8

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

5(x - 2) - 6 = 24

Step 2: Solve for x

  1. Add 6 to both sides:                    5(x - 2) = 30
  2. Divide 5 on both sides:                x - 2 = 6
  3. Add 2 to both sides:                    x = 8

Step 3: Check

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

  1. Substitute in x:                    5(8 - 2) - 6 = 24
  2. Subtract:                              5(6) - 6 = 24
  3. Multiply:                               30 - 6 = 24
  4. Subtract:                              24 = 24

Here we see that 24 does indeed equal 24.

∴ x = 8 is the solution to the equation.

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Lyla Mann
15.5k 3 10 26
answered 7 months ago