8th Grade Linear Equations Unit 8.ee.7 Solutions and Explanations

Isolate the variable by using inverse operations on both sides of the problem. If the equation involves addition, subtract the same number from both sides; for multiplication, divide by the same factor. This method allows you to solve the expression step by step while maintaining balance between both sides.

Double-check your solution by substituting the found value back into the original expression. If both sides of the equation are equal, the solution is correct. This serves as a quick verification to ensure your steps were followed properly and no mistakes were made.

Apply the distributive property when needed for simplifying expressions with parentheses. Multiply each term inside the parentheses by the factor outside, and then combine like terms. Understanding these foundational techniques will enable you to solve even more complex problems efficiently.