Question

Solve the equation. $$ 4(m+3)-2 m=3(m-3) $$

   Solve the equation.
$$
4(m+3)-2 m=3(m-3)
$$

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 3, Problem 25

Instant Answer

Solved by Expert Ramzi Deek

04/26/2020

Step 1

Step 1: First, distribute the 4 and 3 in the equation: $$ 4m + 12 - 2m = 3m - 9 $$ Show more…

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Solve the equation. $$ 4(m+3)-2 m=3(m-3) $$

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Key Concepts

Balancing Equations

Balancing the equation involves performing the same operation on both sides of the equation to maintain equality. This concept ensures that the manipulations made to isolate the variable do not alter the solution set, preserving the integrity of the equation.

Isolating the Variable

Isolating the variable means rewriting the equation so that the unknown appears on one side and all constant terms on the other. This is a crucial step in solving linear equations, as it directly leads to finding the value of the unknown.

Distributive Property

The distributive property is a key algebraic principle used to eliminate parentheses by multiplying a single term by each term inside the parentheses. This property is essential for simplifying expressions before further steps are taken to solve an equation.

Combining Like Terms

Combining like terms involves summing or subtracting coefficients of terms that share the same variables and powers. This step helps to reduce the equation into a simpler form, making it easier to isolate and solve for the variable.

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