Solve each equation. -4(3-4 x)-2(x-1)=12 x

Name: Problem 83, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2020-07-18T21:42:44-08:00
Duration: 29 s
Channel: Sherrie Fenner
Description: Solve each equation. -4(3-4 x)-2(x-1)=12 x

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Key Concepts

Isolating the Variable

Isolating the variable is the process of rearranging an equation so that the unknown variable is on one side by itself. This is typically achieved by performing inverse operations, such as addition, subtraction, multiplication, or division, on both sides of the equation, and it is a central strategy in solving linear equations.

Linear Equations

A linear equation is an equation of the first degree, meaning the variable appears only to the first power and the graph of the equation is a straight line. Solving linear equations involves using algebraic methods to find the value of the variable that satisfies the equation, and this is a foundational skill in algebra.

Distributive Property

The distributive property allows you to multiply a term outside the parentheses by each term inside the parentheses. This concept is fundamental in simplifying expressions and equations, as it helps in eliminating the parentheses and expanding the expression, making it easier to combine like terms later.

Combining Like Terms

Combining like terms involves merging terms in an expression that have the same variables raised to the same power. This process is essential for simplifying equations and reducing them to a form where it is clearer what operations must be performed to isolate the variable.

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