Question

What is the solution to 0.4(12 – 3x) = 0.3(12x – 16)?

Answer 1

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

Step-by-step 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