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### Course: Operations and Algebraic Thinking 222-226>Unit 2

Lesson 5: Two-step equations with decimals and fractions

# Two-step equations with decimals and fractions

Let's practice some two step equations, some of which require merging terms and using the distributive property. Created by Sal Khan and CK-12 Foundation.

## Want to join the conversation?

• Math needs to solve its own problems. I'm not a therapist.
• words of a true man
• At , Sal kept 0.6 as a decimal. Could you also make that into a fraction (6/10) and then multiply both sides by 10 (getting 6x = 120), then dividing both sides by 6, getting x = 20? It seems much easier that way.
• Gauri, the way you described is a completely correct way of doing it, and I agree: it is easier. Usually, if you can covert decimals to fractions because fractions are easier to work with, that's a good way to do it.
Hope that helps!
• math aint mathing today yall
• At , why is it necessary to do the division? Couldn't you just do "Well, I know 6 goes into 12 2 times, but this is a 0.6, which is 10 times less that 6, so just multiply that quotient by ten and boom: 20 is the answer."?
• Because even if this certain division problem was easy, he was demonstrating it so that you could understand and do harder ones more easily… I know- this reply is coming a little to far in the future. Outdated but- hope I helped.
• Why do us students have to learn all subjects, but teachers can't teach all subjects?
• They specialize in one topic. Thats why each teacher is so good at one subject cause they excelled in that area and are able to teach us well.
• Why did he change 3s/8 to (3/8)S?
• i don't get why he changed 5x-(3x+2)=1 to 5x-3x-2=1
• It's impossible to isolate the x because it's in the parenthesis
• Thank You for these tips for two step equations. Is there other ways to do this?
• In two steps equations one need to solve one part of the equation first to solve the whole equation . This is going to be a good way to do one way equation.
``Original equation:13 = -4x + 9Algebraic manipulations:13 - 9 = -4xx = (13 - 9) / -4x = -1Verification:13 = -4(-1) + 9, passesAnswer:.________.| x = -1 |.________.``