Question

Solve the equation. $$ 3(x+6)=5(x-4) $$

   Solve the equation.
$$
3(x+6)=5(x-4)
$$

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 3, Problem 19

Instant Answer

Solved by Expert Ramzi Deek

04/26/2020

Step 1

Step 1: First, distribute the 3 and 5 into the parentheses: $$ 3x + 18 = 5x - 20 $$ Show more…

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Solve the equation. $$ 3(x+6)=5(x-4) $$

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Key Concepts

Linear Equations

Linear equations are algebraic expressions where the variable is only raised to the first power. Solving a linear equation involves finding the value of the variable that satisfies the equality, typically represented on a straight line when graphed.

Distributive Property

The distributive property is a key algebraic rule that allows you to multiply a single term by each term within parentheses. It is used to eliminate parentheses in an equation, making it easier to combine like terms and simplify the expression.

Combining Like Terms

Combining like terms involves grouping and simplifying terms in an algebraic expression that have the same variable parts. This process reduces the complexity of the equation and paves the way for isolating the variable.

Isolating the Variable

Isolating the variable is the process of rearranging an equation using inverse operations so that the variable stands alone on one side. This step is crucial in solving equations, as it directly leads to finding the value of the unknown.

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