Question

Solve the equation $-4(x+3)=5 x+9$

   Solve the equation
$-4(x+3)=5 x+9$

McDougal Littell Algebra 2

McDougal Littell Algebra 2

Holt McDougal, Ron… 9th Edition

Chapter 3, Problem 42

Instant Answer

Solved by Expert Yujie Wang

09/04/2021

Step 1

The equation is: \(-4(x + 3) = 5x + 9\) Distributing gives: \(-4x - 12 = 5x + 9\) Show more…

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Solve the equation $-4(x+3)=5 x+9$

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Key Concepts

Balancing Equations

Balancing equations involves performing the same mathematical operations on both sides of the equation. This principle ensures that the equality is maintained while isolating the variable, which is vital for accurately solving the equation.

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. It represents a straight line when graphed, and solving such equations involves finding the value of the variable that makes the equation true.

Distributive Property

The distributive property allows you to multiply a single term across terms inside parentheses. This property is expressed as a(b + c) = ab + ac, and it is essential for eliminating parentheses in equations, making it easier to combine like terms and isolate the variable.

Combining Like Terms

Combining like terms simplifies an equation by adding or subtracting coefficients of terms that have the same variable raised to the same power. This step reduces complexity and consolidates similar terms, making it easier to solve for the variable.

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