Solve the equation: 3 x+4=8-x

Name: Problem 1, Chapter 11: Precalculus Enhanced with Graphing Utilities
Uploaded: 2020-06-12T20:55:41-08:00
Duration: 59 s
Channel: Brandon Fox
Description: Solve the equation: 3 x+4=8-x

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Key Concepts

Linear Equation

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. It represents a straight line when graphed and is characterized by the first-degree power of the variable.

Combining Like Terms

Combining like terms means simplifying an equation by merging terms that contain the same variable or are constants. This process reduces the equation to a simpler form, making it easier to manipulate and solve.

Properties of Equality

Properties of equality are fundamental rules that allow the same operation to be performed on both sides of an equation without changing the equality. These include operations like addition, subtraction, multiplication, and division, which help in isolating the variable.

Isolating the Variable

Isolating the variable is a technique used to solve equations where operations are applied to gather all terms containing the variable on one side of the equation and the constants on the other. This step-by-step approach leads directly to finding the value of the variable.

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