Respuesta :

Space

Answer:

x = -16

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

10(1/2x + 2) - 5 = 3(x - 6) + 1

Step 2: Solve for x

  1. Distribute:                                   5x + 20 - 5 = 3x - 18 + 1
  2. Combine like terms:                   5x + 15 = 3x - 17
  3. Subtract 3x on both sides:         2x + 15 = -17
  4. Subtract 15 on both sides:         2x = -32
  5. Divide 2 on both sides:              x = -16

Step 3: Check

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

  1. Substitute in x:                     10(1/2(-16) + 2) - 5 = 3(-16 - 6) + 1
  2. Multiply:                                10(-8 + 2) - 5 = 3(-16 - 6) + 1
  3. Add/Subtract:                       10(-6) - 5 = 3(-22) + 1
  4. Multiply:                                -60 - 5 = -66 + 1
  5. Subtract/Add:                       -65 = -65

Here we see that -65 does indeed equal -65.

∴ x = -16 is the solution of the equation.

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