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Chapter 4: Problem 57

Solve the equations and inequalities. $$0.5(x+2)-0.3(x-4)=3$$

Short Answer

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Step by step solution

01

Simplify Both Sides

Distribute the constants 0.5 and -0.3 inside the parentheses:
02

Apply Distribution

Calculate:
03

Combine like Terms

Combine the constants on both sides:
04

Solve for X

Isolate the variable x:

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Distributive Property
The distributive property helps in breaking down expressions and making equations easier to work with. It allows us to distribute a multiplier across each term within parentheses. Let's consider the original equation:
\(0.5(x+2)-0.3(x-4)=3\).

Using the distributive property, the equation unfolds as follows:
\0.5x + 0.5*2 - 0.3x - 0.3*(-4) \.
This simplifies to:
\

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Most popular questions from this chapter

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