Solving an equation for unknowns is one of the most fundamental ideas in mathematics. It involves finding the value or values of a variable that make an equation true. For example, in an equation such as 3x 2x = 40, the goal is to determine the value of x that balances both sides. This process requires performing the same operation on both sides of the equation—such as addition, subtraction, multiplication, or division—until the variable is isolated. These operations maintain equality, meaning t