step 1 Let's start by adding the xes together. So if we'll add 5x to both sides, that these cancel out.

Solve. 4 x+7=3-5 x

Name: Problem 17, Chapter 15: Elementary and Intermediate Algebra
Uploaded: 2020-05-19T19:32:40-08:00
Duration: 32 s
Channel: Ali Soave
Description: Solve. 4 x+7=3-5 x

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Key Concepts

Linear Equations

A linear equation is an algebraic equation in which the highest power of the variable is one. Solving such equations involves finding the value of the variable that satisfies the equality, typically through methods that involve isolating the variable on one side of the equation.

Properties of Equality

The properties of equality, such as adding, subtracting, multiplying, or dividing both sides of an equation by the same nonzero number, are essential tools that maintain the equality while transforming the equation. These properties ensure that the modifications applied to the equation do not change its solution set.

Algebraic Manipulation

Algebraic manipulation involves the rearrangement and combination of terms in an equation to simplify it or isolate specific variables. Operations such as adding or subtracting terms from both sides and combining like terms are used to transform the equation into a form that makes the solution straightforward.

Isolation of Variables

Isolation of variables is the method used to get the variable of interest by itself on one side of the equation. This is accomplished by performing inverse operations on both sides of the equation until the variable is separated, allowing for the determination of its numerical value.

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