Solve 2 x-9=5-4(3 x+2)

Name: Problem 96, Chapter 3: Precalculus Functions and Graphs
Uploaded: 2020-04-07T05:17:24-08:00
Duration: 1 min 21 s
Channel: Bobby Barnes
Description: Solve 2 x-9=5-4(3 x+2)

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Key Concepts

Linear Equations

Linear equations are equations where the variable is raised only to the first power and the graph of the equation is a straight line. They form the basis of algebra and solving them involves finding the value of the variable that makes the equation true.

Distributive Property

The distributive property allows one to multiply a term by a sum or difference inside parentheses, facilitating the expansion of expressions. It is a fundamental tool in algebra, expressed as a(b + c) = ab + ac, and is essential when simplifying equations.

Combining Like Terms

Combining like terms involves consolidating terms in an expression that have identical variable parts. This process simplifies the expression by allowing the addition or subtraction of their coefficients, thereby reducing the complexity of the equation.

Properties of Equality

The properties of equality include rules such as adding, subtracting, multiplying, or dividing both sides of an equation by the same nonzero number, which maintain the equality. These principles are crucial when isolating the variable and solving the equation.

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