Final answer:
To solve linear equations with variable terms on both sides, follow these steps including identifying the variable, simplifying the equation, isolating the variable, and checking the solution.
Step-by-step explanation:
- Identify the unknown variable in the equation.
- Combine like terms on each side of the equation to simplify it.
- Use the appropriate properties of equality to isolate the variable on one side of the equation.
- If there are fractions or decimals, clear them by multiplying both sides of the equation by the appropriate factor.
- If there are variables on both sides of the equation, combine the terms to get the variable on one side.
- Solve for the variable by applying the inverse operation to isolate it.
- Check the solution by substituting it back into the original equation.