Solving linear equations with variables on both sides means to find the solution of a linear equation having variables on both the sides. Solving such equations requires rearranging the terms and applying different mathematical operations to isolate the variable alone on one side and making sure that the equation stays balanced. The main aim is to find the value of the variable that makes the equation true. In these worksheets, students will isolate the variable term by applying different arithmetic operations.

For example: Solve for \( r \): \(-10 - 5r = -6r - 1\)