step 1 And then this problem we want to solve 3x plus 6 minus 10 is equal to 2x minus 2. Now in order t

3 x+6-10=2 x-2 | Numerade

Name: Problem 67, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-12T23:00:20-08:00
Duration: 51 s
Channel: Christopher Stanley
Description: 3 x+6-10=2 x-2

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Key Concepts

Isolating the Variable

Isolating the variable means manipulating the equation so that the unknown appears on one side by itself. This is achieved by systematically undoing operations applied to the variable using inverse operations, ultimately leading to the solution of the equation.

Linear Equation

A linear equation is an algebraic statement that equates two expressions and involves variables raised only to the first power. The goal is to determine the value of the variable that makes the equality true, which involves simplifying and manipulating the equation.

Combining Like Terms

Combining like terms involves simplifying an algebraic expression by adding or subtracting terms that have the same variable raised to the same power. This process reduces the complexity of the equation and makes it easier to solve.

Properties of Equality

The properties of equality are rules that allow the same operation to be performed on both sides of an equation without affecting the equality. These include adding, subtracting, multiplying, or dividing both sides by the same number, which are essential when solving for a variable.

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