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monitta
3 years ago
9

1. Solve forx: 5(x - 8) + 7 = 2

Mathematics
2 answers:
ch4aika [34]3 years ago
8 0

Answer: x=7

Step-by-step explanation:

(5x-40)+7 = 2

5x-33 = 2

5x = 35

x = 35/5

x = 7

DiKsa [7]3 years ago
6 0

Answer:

x = 7

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

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

Step-by-step explanation:

<u>Step 1: Define</u>

5(x - 8) + 7 = 2

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

  1. Subtract 7 on both sides:                    5(x - 8) = -5
  2. Divide 5 on both sides:                       x - 8 = -1
  3. Add 8 on both sides:                           x = 7

<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>:                     5(7 - 8) + 7 = 2
  2. (Parenthesis) Subtract:        5(-1) + 7 = 2
  3. Multiply:                                -5 + 7 = 2
  4. Add:                                      2 = 2

Here we see that 2 does indeed equal 2.

∴ x = 7 is the solution to the equation.

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