Question

Solve the equation. $$ 2(a+4)=2(a-4)+4 a $$

   Solve the equation.
$$
2(a+4)=2(a-4)+4 a
$$

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 3, Problem 26

Instant Answer

Solved by Expert Ramzi Deek

04/26/2020

Step 1

This gives us: $$ 2a + 8 = 2a - 8 + 4a $$ Show more…

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Solve the equation. $$ 2(a+4)=2(a-4)+4 a $$

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Key Concepts

Isolating the Variable

Isolating the variable means performing operations that rearrange the equation so that the variable appears alone on one side. This step is crucial as it leads directly to finding the value of the unknown in the equation.

Combining Like Terms

Combining like terms involves merging terms that have the same variable components by adding or subtracting their coefficients. This step simplifies the equation, making it easier to isolate the variable and reach the solution.

Distributive Property

The distributive property is used to multiply a term by an expression inside parentheses, effectively eliminating the parentheses by distributing the multiplier to each term inside. This property simplifies the expansion of expressions and is essential to solving equations.

Linear Equations

Linear equations involve expressions with variables raised only to the first power and can be depicted as straight lines when graphed. The primary objective in solving a linear equation is isolating the variable on one side of the equation through algebraic manipulations.

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