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elixir [45]
3 years ago
8

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

Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0

Answer:

x = -16

General Formulas and Concepts:

<u>Pre-Algebra</u>

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:

<u>Step 1: Define Equation</u>

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

<u>Step 2: Solve for </u><em><u>x</u></em>

  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

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                     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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