**How Will This Worksheet on "Write and Solve Linear Equations with Variables on Both Sides (Word Problems)" Benefit Your Students' Learning?**

- Boosts your ability to think critically by using algebra in everyday situations.
- Gets better at solving problems by simplifying tricky word problems into easy steps.
- Build up your algebra skills by learning to balance equations with variables on both sides.
- Supports mathematical communication by translating verbal descriptions into algebraic expressions and vice versa.

**How to Write and Solve Linear Equations with Variables on Both Sides (Word Problems)?**

- Read the word problem carefully and determine the quantities or variables that are unknown and need to be solved for.
- Assign variables to represent the unknown quantities. Typically, use letters like \(x\), \(y\), or other letters as needed.
- Express the information given in the problem as mathematical equations. Pay attention to keywords such as "more than," "less than," "twice as much as," etc., to determine the mathematical operations needed.
- Write linear equations that represent the relationships between the variables. Ensure that the equations accurately represent the given information in the problem.
- Arrange the equations so that all variables are on one side and constants are on the other side. This may involve combining like terms and simplifying expressions.
- Use appropriate algebraic techniques such as addition, subtraction, multiplication, and division to isolate and solve the variable.