Respuesta :

Answer: x=7

Step-by-step explanation:

(5x-40)+7 = 2

5x-33 = 2

5x = 35

x = 35/5

x = 7

Space

Answer:

x = 7

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

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

Step-by-step explanation:

Step 1: Define

5(x - 8) + 7 = 2

Step 2: Solve for x

  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

Step 3: Check

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

  1. Substitute in x:                     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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