How to Solve Multi-step Equations?Ī variable in an equation can be isolated on any side, depending on your preference. This implies that, whatever you do to one side of the equation, you MUST do to the opposite of the equation.įor instance, if you add or subtract a number on one side of the equation, you must also add or subtract on the equation’s opposite side. The Law of equations is the most important rule you should remember while solving any linear equation. ![]() The strategy of obtaining a variable with a coefficient of one entails several processes. Like we saw in one-step and two-step equations, the main objective of solving multi-step equations is to isolate the unknown variable on either the RHS or LHS of the equation while keeping a constant term on the opposite side. Multi-step equations are solved by applying similar techniques used in solving one-step and two-step equations. Therefore, a multi-step equation can be defined as an algebraic expression that requires several operations such as addition, subtraction, division, and exponentiation to be solved. The term “multi” means many or more than two. This gives you the one-step equation 3x = 12. To solve this equation, subtract 4 from both sides of the equation, Examples of two-step equations are:Īdd both 6 to both sides of the equation and multiply by 5.Īdd 2 to both sides of the equation and divide by 3. In this case, the operations to solve a two-step are addition or subtraction and multiplication or division. ![]() You can note that for a one-step equation to be completely solved, you only need a single step: add/subtract or multiply/divide.Ī two-step equation, on the other hand, requires two operations to perform to solve or isolate a variable. ![]() To solve this equation, divide both sides of the equation by 3. You only need to subtract 5 from both sides of the equation: Examples of one step equations include: 5 + x = 12, x – 3 = 10, 4 + x = -10 etc. You only perform a single operation in order to solve or isolate a variable. One step equation is an equation that requires only one step to be solved. And for this reason, let’s take a brief review of what one-step and two-step equations entail. To understand how to s olve multi-step equations, one must have a strong foundation for solving one-step and two-step equations. ![]() Solving Multi-Step Equations – Methods & Examples
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