step 1 Now, this problem we'll solve two times 3x minus 4 minus 5x is equal to 7. Now, first thing we'r

2(3 x-4)-5 x=7 | Numerade

Name: Problem 80, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-12T23:59:41-08:00
Duration: 1 min 7 s
Channel: Christopher Stanley
Description: 2(3 x-4)-5 x=7

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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. The steps to solve it typically involve using algebraic manipulations to isolate the variable, making it a foundational concept for understanding more complex algebraic equations.

Distributive Property

The distributive property is a fundamental algebraic principle stating that multiplying a sum by a number yields the same result as multiplying each addend individually by the number and then adding the products. This property is essential for eliminating parentheses and simplifying expressions in equations.

Combining Like Terms

Combining like terms involves merging terms in an algebraic expression that have the same variable parts into a single term. This process simplifies the equation, reducing it to a more manageable form, and is crucial for solving equations efficiently.

Inverse Operations

Inverse operations are operations that reverse the effects of another operation. In solving equations, employing inverse operations, such as subtraction or division, helps in isolating the variable by undoing addition or multiplication, thereby leading to the solution of the equation.

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