What are the basic operations involved in solving a linear equation?

Solving a linear equation involves several basic operations. The first step is to simplify both sides of the equation by combining like terms and eliminating any parentheses or brackets. Next, we isolate the variable by performing inverse operations. This means that if the variable appears with addition, we subtract that number from both sides. If the variable appears with multiplication, we divide both sides by that number. The goal is to get the variable alone on one side of the equation, with a coefficient of 1. Finally, we check our solution by substituting it back into the original equation. If the equation is balanced, then the solution is correct. Overall, the basic operations involved in solving a linear equation are simplifying, isolating the variable, and verifying the solution.
This mind map was published on 9 October 2023 and has been viewed 48 times.

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Step 1: How do you multiply both sides by the least common multiple of the denominators?

Step 2: How do you use the distributive property to eliminate parentheses?

Step 3: What is the process of combining like terms on both sides?