Final answer:
To solve an equation with variables on both sides, isolate the variable terms on one side, combine like terms, simplify, and solve for the variable. Distribute terms as needed and use additional equations for multiple unknowns. Always substitute the solution back in to check for accuracy.
Step-by-step explanation:
To solve an equation with a variable on both sides, you should first isolate the variable terms on one side and the constants on the other side, and then you can solve for the variable. This involves combining like terms and simplifying the equation. Once the variables are on one side and the constants on the other, you can perform the necessary arithmetic operations to find the value of the variable.
In some cases, when working with more complex problems, you may have to distribute terms across parentheses or combine several equations to solve for multiple unknowns. This could mean setting up and solving a system of equations. Keep in mind that during this process, it's crucial to adhere to physical principles or the problem's context to avoid confusion.
Lastly, to verify your solution, substitute the known values into the original equation to ensure that both sides equal each other. This step checks the reasonableness of your answer and confirms that you have solved the equation correctly.