Since 7x is “larger” than 2x, then we might as well keep it to the left side. Notice that there is no parenthesis in this equation and no like terms to combine on both sides of the equation.Ĭlearly, our first step is to decide where to keep or isolate the unknown variable x. This is a typical problem in multi-step equations where there are variables on both sides.
#Five step equation maker how to
Eliminate numbers or variables by applying opposite operations: addition and subtraction are opposite operations as in the case of multiplication and division.Įxamples of How to Solve Multi-Step EquationsĮxample 1: Solve the multi-step equation below.Decide where you want to keep the variable because that will help you decide where to place the constant.Simplify both sides of the equation, if possible, by combining like terms.Get rid of any grouping symbols such as square brackets, parentheses, etc, by applying the Distributive Property of Multiplication over Addition.
For example, if we add 5 on the left side of the equation we must also add 5 on the right side. This concept of performing the same operation on both sides applies to the four arithmetic operations, namely: addition, subtraction, multiplication, and division. Since we are dealing with equations, we need to keep in mind that whatever operation we perform on one side must also be applied on the other to keep the equation “balanced”. But there are cases when it makes more sense to keep it on the right side of the equation. The “standard” or usual way is to have it on the left side. However, there is no rule on where to keep the variable.
The main goal in solving multi-step equations, just like in one-step and two-step equations, is to isolate the unknown variable on one side of the equation while keeping the constant or number on the opposite side. That’s why solving multi-step equations are more involved than one-step and two-step equations because they require more steps. The word “multi” means more than two, or many.
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