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5(x-1)=23 solve the equation

2 Answers

5 votes

Answer: 28/5 or 5.6

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

User Greg Franko
by
8.7k points
8 votes

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

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.

User Saarah
by
8.3k points

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