step 1 Now this problem we want to solve 3 minus 6x is equal to negative 7x plus 10. Now in order to so

3-6 x=-7 x+10 | Numerade

Name: Problem 58, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-12T16:47:35-08:00
Duration: 39 s
Channel: Christopher Stanley
Description: 3-6 x=-7 x+10

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Key Concepts

Linear Equations

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. These equations graph as straight lines and involve variables raised only to the first power, making them simpler to solve using systematic algebraic methods.

Combining Like Terms

Combining like terms is a fundamental algebraic technique that involves consolidating terms in an expression that have the same variable parts. This process simplifies the equation, making it easier to isolate and solve for the variable by reducing the complexity of the expression.

Properties of Equality

The properties of equality are essential rules in algebra that allow you to perform the same mathematical operation on both sides of an equation without changing its solution. These include operations such as addition, subtraction, multiplication, and division, and they are critical for maintaining the balance of an equation while solving it.

Isolating the Variable

Isolating the variable refers to the process of rearranging the equation so that the variable of interest appears on one side of the equation by itself. This is typically achieved by applying inverse operations to remove other terms and coefficients, leading directly to the solution for the variable.

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