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

Mathematics

1 answer:

TiliK225 [7]2 years ago

8 0

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
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

Distribute: 4.8 - 1.2x = 3.6x - 4.8
Add 1.2x on both sides: 4.8 = 4.8x - 4.8
Add 4.8 on both sides: 9.6 = 4.8x
Divide 4.8 on both sides: 2 = x
Rewrite: x = 2

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