Solve equation. 4 x+5+2 x=7 x

Name: Problem 81, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2020-07-11T07:55:00-08:00
Duration: 20 s
Channel: Amy Jiang
Description: Solve equation. 4 x+5+2 x=7 x

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Key Concepts

Linear Equations

Linear equations are algebraic expressions that involve variables raised only to the first power. They typically represent straight-line graphs and are solved by isolating the variable on one side of the equation to determine its value.

Combining Like Terms

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power. This simplifies the equation and is an essential step in solving linear equations.

Isolation of the Variable

Isolation of the variable means rearranging the equation so that the unknown variable is by itself on one side. This is achieved through inverse operations and is crucial for finding the solution to the equation.

Inverse Operations

Inverse operations are used to undo the effects of arithmetic operations. For example, subtraction is the inverse of addition, and division is the inverse of multiplication. They are applying on both sides of an equation to help isolate the variable and solve the equation.

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