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Solve for the unknown, and then check your solution.$$0.2 x-0.3(5-2 x)=0.4$$

$$19 / 18$$

Algebra

Chapter 0

Reviewing the Basics

Section 1

Solving Linear Equations

Equations and Inequalities

Missouri State University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

06:11

Solve for the unknown, and…

00:54

Solve each equation.$$…

01:48

Solve each equation, and c…

01:53

06:24

Solve equation and check y…

01:34

02:21

02:26

Solve the given equations.…

01:10

Solve each equation. Check…

01:20

we have the following equation 0.2 x minus 0.3 times the parentheses. Five minutes to x equals 0.4 and this is a linear equation because X rays to have part one we're trying to solve for X and both of these expressions should equal to each other. And we also another fact that addition and subtraction will under each other on multiplication and division will also under each other. So first step we have to simplify and we're gonna do this by distributing the negative 0.3 into our parent is easier. So it's gonna be 0.3 times five and also 50.3 times negative, too. So we have 0.2 your 0.2 x minus 0.3 times five, which is 1.5. And then we also have negative 0.3 times negative, too. So the negatives cancel each other out. So now it's positive. That's 0.3 times to it's simply just 0.6 to your 0.6 X. There's is equal to 0.4. We can simplify this further by adding the X values, so we have 0.2 x plus 0.6 x that's equal to 0.8 X minus 1.5 is equal to 0.4. Now we're going to get rid of the 1.5 by adding 1.5 to both sides of the equation. So this is going to be plus 1.5 over here we have 0.4 plus 1.5. So the 1.5 cancel each other out. So we're left with your 0.8 X is equal to 0.4 plus 1.5. That's just 1.9. That's because 0.4 plus 0.5 point nine so 1.5 plus one plus 0.4 is just 1.9. All right, so now we have this value and we have to get rid of those 3.8. So we'll divide both sides of the equation by 0.8. And that's because we have a multiplication right here. So in reality, this is 3.8 times X, and we're gonna divide this I 0.8. Well, the same thing on the right side of the equation, divided by 0.8. So 0.8 divided with your point. It is just one. So we're left with one X or simply X is equal to 1.9 divided by 3.8 film. This is our final answer, but we could simplify it a little bit more just to make it a bit more clean. We can do this. Um, since they're they're in decimal form, we could make these numbers who could multiply both the top in the bottom by 10 to move the decimal point to the right, and that's going to make the number a little bit nicer to read. It's just gonna be 19 if I did by eight, because this is 10 times 1.9 is 19 and then 10 times 0.8 is eight and again, which is doing this to move the decimal point to the right ones. And we do that by multiplying by 10. So we're left with X equals Mexico's 19, divided by eight, and then we could quickly double check by plugging into a calculator. Well will replace extra 19.8 with 19 over eight Dizzy if it's true or not invited by aid minus your 0.3 and then five minus to six and then again. We'll replace X with 19. Upgrade equals 0.4. So we'll see if this is true or not. Um, yeah, you could just pluck these values into a calculator. It's a lot faster. Oh, and we'll plug it in as the way that is shown. So we have 0.2 times 19, divided by eight minus 0.3 times five minus two times in parentheses, 19 divided by aid. And we get 0.4 on the left side. And indeed to appoint for those equals 0.4 closer for 19, divided by eight is our final answer. Oh ah!

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