Solving Simple Equations
Learning to find the unknown value that satisfies an equation.
Core concept
For example, to solve x + 5 = 12, subtract 5 from both sides: x + 5 - 5 = 12 - 5, giving x = 7. For an equation like 3x = 15, divide both sides by 3: x = 5. More complex equations may require multiple steps — combining like terms, then using inverse operations (addition/subtraction, then multiplication/division) in the correct order to fully isolate the variable, always checking the final answer by substituting it back into the original equation to verify it makes the equation true.
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• Solving an equation means finding the variable value that makes it true.
• Perform the same operation on both sides to keep the equation balanced.
• Example: x+5=12 → subtract 5 from both sides → x=7.
• Always check the solution by substituting it back into the original equation.