# Solving One-Step Equations

Solving one-step equations is truly your “first step” in the world of solving linear equations. If you can solve one-step equations that means you will be prepared to handle the challenge of more complex equations such as two-step and multi-step equations. Believe me, it is not difficult. Once you mastered this particular skill, you will open yourself up to many possibilities.

In this lesson, we are going to cover five (5) types or cases of one-step equations based on how they are solved. However, the fifth type is really the mixture or combination of the multiplication and division operations. This is really an important case because others may consider it as a two-step equation problem but in fact, it can be solved with a single step.

**Five (5) Cases of Solving One-Step Equations**

**Case 1**: One-Step Equations that are solvable by adding both sides of the equation by the same number.

**Case 2**: One-Step Equations that are solvable by subtracting both sides of the equation by the same number.

**Case 3**: One-Step Equations that are solvable by multiplying both sides of the equation by the same number.

**Case 4**: One-Step Equations that are solvable by dividing both sides of the equation by the same number.

**Case 5**: One-Step Equations that are solvable by multiplying both sides of the equation by the reciprocal of the coefficient of the term with a variable.

**What does it mean to solve an equation?**

Here’s a simple answer. If you can isolate or keep the variable by itself on one side of the equation (left side or right side) such that the variable or letter has a coefficient of +1 while the rest are on the opposite side, then you have solved the equation.

** Examples of How to Solve One-Step Equations**