![]() The number in front of the variable should be the number 1. The main objective is to have only the variable (x or any other letter that is used ) on one side and the numbers on the other side. Why? Because they take only one step to solve. In the end, make sure to double-check your solutions before submission.One-step equations are the simplest equations around. Through practice and adequate resources at hand, solving them can turn out to be your favorite pastime activity. Remember, algebra is as enticing of a subject as you would like it to be. Through principles like "reverse operation" and "balancing each side," finding the values of the variables has turned out to be more interesting than ever. Now that we've dug deeper into how to solve one-step equations, it's safe to conclude that they're by far the easiest equations to solve. Here, since x is being divided by 4, reversing the operation entails that the variable will be isolated, and 4 will be moved to the other side of the equation. On the left side of the equation, x will be left isolated once the "3s" cancel each other out. Since 3 is being multiplied by x, you must reverse the operation and keep both sides balanced. Similar to the first example, you will be required to keep both sides of the equation balanced. Step 2: Divide or Multiply on Both Sides of the Equation Isolating the variable requires you to move 3 on the other side of the equation. However, this time, the equation might also include a coefficient or a number that needs to be multiplied by the variable. Since -10 + 10 on the left side of the equation cancels itself out, you're left with:Īgain, the variable here should represent an unknown value. What you do on one side should also be repeated on the other side. Here, you attempt to keep both sides of the equation balanced. Here's how.Īdding on both sides: x - 10 + 10 = 5 + 10 Step 3: Add or Subtract from Both Sides of the EquationĪnother way to find the value of the variable is by adding or subtracting the constant on both sides of the equation. So, if it was previously being subtracted, it will now be added to 5. In the equation x-10 = 5, bringing 10 on the other side of the equation entails that the sign will be reversed. ![]() In order to isolate it, you must bring it to one side of the equation by applying an inverse operation. ![]() Step 2: Find a Way to Isolate the Variable However, the value it represents is unknown to us. ![]() Hence, it is after finding it that you can prove the equation to be true.Ī typical equation usually consists of a variable. Since algebra is all about working with equations, you will often have to determine the value represented by a variable. When we work through problems that only require us to make one move, we call these single step algebraic equations.Īs the name suggests, a one-step equation is an equation that can be solved in a single step. We can also just reverse the operation on the left to get x by itself. We can ask ourselves what value, when subtracted by 2, gives us 8. So, we are looking for a way to make the left side of the equation equal to 8. We will need to find the value for x that would make this true. Going back to our original equation: x - 2 = 8. We can do this by finding a value for the variable that would make the overall math statement be true. To solve your basic equation, you need to find the value of this variable. In this example x is the variable or the unknown. We will often work with equation that have an unknown value which we often call a variable. An equation is a math statement that presents two equal values. ![]()
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