Solving a three-step linear equation involves isolating the variable (usually represented by x) on one side of the equation while keeping the equation balanced. This process typically involves three steps: using inverse operations to undo addition or subtraction, and then multiplication or division to isolate the variable.
The importance of solving linear equations lies in their widespread applications in various fields such as mathematics, science, engineering, and economics. They enable us to model and solve real-world problems involving relationships between variables.