What is the easiest way to solve an algebraic equation?
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The easiest way to solve an algebraic equation is to follow a step-by-step approach:
1. Simplify both sides of the equation: Combine like terms and perform any necessary operations such as distributing or factoring. This will help eliminate any unnecessary complexity.
2. Isolate the variable: Move all terms containing the variable to one side of the equation and move all constant terms to the other side by performing inverse operations (addition/subtraction or multiplication/division).
3. Simplify further if needed: Simplify any expressions on both sides of the equation.
4. Solve for the variable: Once the variable is isolated, apply the inverse operation to solve for the value of the variable.
5. Check your solution: Substitute the obtained value of the variable back into the original equation to ensure that both sides are equal. If they are, then you have the correct solution. If not, recheck your work and go back to step 1.
Practicing these steps on various algebraic equations will help you become more comfortable and efficient at solving them.