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Solve for the unknown, and then check your solution.$$7 m-4=3 m+12$$

$$4$$

Algebra

Chapter 0

Reviewing the Basics

Section 1

Solving Linear Equations

Equations and Inequalities

Oregon State University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Lectures

01:43

Solve and check.$$-4 m…

00:45

Solve each equation, and c…

01:00

Solve each equation.$$…

00:32

Solve the following equati…

Solve.$$8(3-m)+7=4…

02:08

Solve the equation if poss…

00:51

Solve.$$3 m-7=-13+m$$<…

00:42

Solve equation, and check …

01:24

01:27

04:38

right for this linear question, we're going to solve seven M minus four equals three M plus 12. So, again, any all the new equations were simply just two expressions that are equal to each other and their leaner because they're only to the power of one. So we're gonna use the fact that addition and subtraction will under each other, and multiplication and division will under each other. So with this linear equation, the first thing we have to do is simplified, but it's already simplified because there is no need to distribute any numbers. But we do have to rearrange it, and we want to get the EMS to the left side of the equation. So we're gonna do that by getting rid of the three. I'm over here and moving out over here. So in order to do that, we have to. It's attract three m from both sides of the equation. And again, this is only two. This is simply to undo the plus three m. That's on the right side. So we're gonna have seven M plus minus four minus three m and then on the right side, we're gonna have three M plus 12 minus three. Um, so seven M minus three. Um, is simply for them. It's for it. This is gonna And then we're gonna have three on minus three. Um, which is just zero. What? So we don't have to worry about it, and we're gonna be left with just plus 12 on the right side. So now we have to isolate the forum. And we're going to do that by adding four to both sides of the equation in order to undo the negative for this right here. So we're gonna four m minus four. That's for you equals 12 plus four. So for em minus four plus four, negative four and plus four will cancel each other out. So we're left with zero. So it's just for him equals 12 plus war, which is 16. Okay, now we have four M. Now we want to completely isolate M. So we have four times m and we're going to do this by dividing it by four. So and again. Whatever. Did Once I we did see the other side. So we're gonna have 16 divided by for also, So this is gonna be simply forward. Divided by four is one So it's just m equals 16 divided by four, which is simply just for and equals for. And we can quickly double check if this is correct. Like plugging this value in toward the original question, which was seven times m. Its support in its form equal sleep three times four. Okay, plus 12. So we have some things for minus four equals three times for which is 12. I was 12. So 28 minutes for is simply 24 and then 12 plus 12 is 24. So So therefore, I am indeed us equal four. This is our final value, Yeah.

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