Respuesta :

Answer: 28/5    or 5.6

Step-by-step explanation:

5(x-1) = 23        Distribute on the left side

5x - 5 = 23        Add 5 to both sides

    +5      +5

5x = 28       Divide both sides by 5

x = 28/5

Space

Answer:

x = 28/5

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 - 1) = 23

Step 2: Solve for x

  1. Divide 5 on both sides:                    x - 1 = 23/5
  2. Add 1 to both sides:                          x = 28/5

Step 3: Check

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

  1. Substitute in x:                     5(28/5 - 1) = 23
  2. (Parenthesis) Subtract:        5(23/5) = 23
  3. Multiply:                                23 = 23

Here we see that 23 does indeed equal 23.

∴ x = 28/5 is the solution to the equation.