To solve an equation step by step, you can follow these general guidelines:
Step 1: Simplify the equation if necessary by combining like terms or using algebraic operations.
Step 2: Isolate the variable by getting all terms containing the variable on one side of the equation and constants on the other side. Use inverse operations to achieve this. For example, if you have an equation like 2x + 3 = 10, you can subtract 3 from both sides to get 2x = 7.
Step 3: If there are any coefficients or constants that can be simplified, do so. For example, if you have an equation like 4x = 12, you can divide both sides by 4 to get x = 3.
Step 4: Check if there are any restrictions on the variable. Sometimes, certain values for the variable can lead to undefined or extraneous solutions. Make sure to analyze the domain of the equation if necessary.
Step 5: If you have an equation with variables on both sides, you may need to combine like terms and simplify further before isolating the variable.
Step 6: Solve for the variable by applying inverse operations as needed. Remember to perform the same operation on both sides of the equation to maintain equality.
Step 7: Check your solution by plugging it back into the original equation. Ensure that it satisfies the equation and is a valid solution.
Step 8: Write down your final solution or solutions, either as a specific value or as a set of values, depending on the nature of the equation.
Remember, these steps provide a general framework, and the specific steps required may vary depending on the type of equation and its complexity.
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Answer:
To solve an equation step by step, you can follow these general guidelines:
Step 1: Simplify the equation if necessary by combining like terms or using algebraic operations.
Step 2: Isolate the variable by getting all terms containing the variable on one side of the equation and constants on the other side. Use inverse operations to achieve this. For example, if you have an equation like 2x + 3 = 10, you can subtract 3 from both sides to get 2x = 7.
Step 3: If there are any coefficients or constants that can be simplified, do so. For example, if you have an equation like 4x = 12, you can divide both sides by 4 to get x = 3.
Step 4: Check if there are any restrictions on the variable. Sometimes, certain values for the variable can lead to undefined or extraneous solutions. Make sure to analyze the domain of the equation if necessary.
Step 5: If you have an equation with variables on both sides, you may need to combine like terms and simplify further before isolating the variable.
Step 6: Solve for the variable by applying inverse operations as needed. Remember to perform the same operation on both sides of the equation to maintain equality.
Step 7: Check your solution by plugging it back into the original equation. Ensure that it satisfies the equation and is a valid solution.
Step 8: Write down your final solution or solutions, either as a specific value or as a set of values, depending on the nature of the equation.
Remember, these steps provide a general framework, and the specific steps required may vary depending on the type of equation and its complexity.