Question

Solve the equation. $$-6 x+4=16$$

Name: Problem 4, Chapter 3: Prealgebra
Uploaded: 2020-07-27T20:31:38-08:00
Duration: 41 s
Channel: Kristen Frankie
Description: Solve the equation. -6 x+4=16

   Solve the equation.
$$-6 x+4=16$$

Prealgebra

Julie Miller, Molly… 1st Edition

Chapter 3, Problem 4

Instant Answer

Solved by Expert Kristen Frankie

07/27/2020

Step 1

This gives us: $$-6x + 4 - 4 = 16 - 4$$ which simplifies to: $$-6x = 12$$ Show more…

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Solve the equation. $$-6 x+4=16$$

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Key Concepts

Balancing Equations

Balancing equations involves performing the same operation on both sides of an equation to maintain equality. This concept ensures that any manipulations made to isolate the variable do not change the equation's inherent balance, leading to a valid solution.

Linear Equation

A linear equation is an algebraic statement where the variable is raised only to the first power, and its graph is a straight line. Understanding linear equations is fundamental in algebra as they are among the simplest types of equations and serve as a basis for more complex problem-solving.

Inverse Operations

Inverse operations are pairs of mathematical operations that cancel each other out, such as addition versus subtraction and multiplication versus division. They are crucial when solving equations because they allow you to systematically isolate the variable by reversing the operations applied to it.

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