how to solve equations with variables on both sides
To solve equations with variables on both sides, follow these steps:
1. Identify terms containing variables on both sides of the equation. These terms will appear on both the left and right sides of the equation.
2. Simplify the equation by combining like terms on both sides. Add or subtract terms as necessary to move all variable terms to one side of the equation, while keeping constants on the other side.
3. Isolate the variable by performing the opposite operation of the coefficient on the variable. For example, if the variable is multiplied by a certain number, divide both sides of the equation by that number. If the variable is added or subtracted by a certain number, perform the opposite operation to both sides.
4. Simplify the equation further if needed.
5. In some cases, you may need to divide by a variable's coefficient. However, make sure the coefficient is not zero before you divide.
6. Finally, check the solution by substituting the obtained value into the original equation. The left side of the equation should equal the right side after substituting.