227k views
1 vote
What is the solution to 0.4(12 – 3x) = 0.3(12x – 16)?

User Darme
by
3.2k points

1 Answer

5 votes

Answer:

x = 2

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

0.4(12 - 3x) = 0.3(12x - 16)

Step 2: Solve for x

  1. Distribute: 4.8 - 1.2x = 3.6x - 4.8
  2. Add 1.2x on both sides: 4.8 = 4.8x - 4.8
  3. Add 4.8 on both sides: 9.6 = 4.8x
  4. Divide 4.8 on both sides: 2 = x
  5. Rewrite: x = 2
User AndySousa
by
3.3k points