From the course: Learning Algebra: Solving Equations
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Solving multistep equations using the distributive property
From the course: Learning Algebra: Solving Equations
Solving multistep equations using the distributive property
- In this next chapter, you'll be solving equations with the distributive property. Let's start by looking at an equation that contains the distributive property. Here we have three times the quantity, X minus 2, equals 21. You know that you have the distributive property because of the X minus two expression inside a parentheses. Because we have the distributive property we must get rid of the parentheses first. So our very first step for solving this equation is to use the distributive property to remove the parentheses. Once the parentheses are removed, you may have like terms. If you have like terms, your next step will be to combine those like terms. Once your terms are combined you can then begin solving the equation. Let's take a look at these three steps in action. Our first step is to remove the parentheses by using the distributive property. So I'm going to distribute the three throughout the parentheses. So first I'm going to multiply three times X, which is three-X. And…
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Solving multistep equations using the distributive property3m 16s
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Solving multistep equations using the distributive property and combining like terms3m 23s
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Solving multistep equations with the double distributive property3m 39s
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Challenge: Solve multistep equations with the distributive property50s
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Solution: Solve multistep equations with the distributive property11m 35s
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