Respuesta :

Space

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

3x - 2(5 - x) = 30

Step 2: Solve for x

  1. Distribute -2:                    3x - 10 + 2x = 30
  2. Combine like terms:        5x - 10 = 30
  3. Isolate x term:                  5x = 40
  4. Isolate x:                           x = 8

Step 3: Check

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

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

Here we see that 30 does indeed equal 30.

∴ x = 8 is the solution to the equation.

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