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Solve for the unknown, and then check your solution.$$4 w-3=w+5$$

$$8 / 3$$

Algebra

Chapter 0

Reviewing the Basics

Section 1

Solving Linear Equations

Equations and Inequalities

McMaster University

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

Lectures

09:06

Solve for the unknown, and…

09:54

05:42

02:15

Solve. If the equation has…

02:20

Solve the equation and che…

00:43

Solve the equations.$$…

01:07

Solve the equation. $$-(3 …

00:40

Find the solution set to e…

01:32

Solve and check. $$4-3 w=-…

01:33

Solve each equation. Check…

01:35

Solve each equation.$$…

00:30

What is the solution of th…

00:41

Solve each equation and ch…

00:42

00:21

Solve equation, and check …

01:05

Solve each equation, and c…

to right for this deal. In every question we have to solve four w minus three equals W plus five. So again, all in your equations or simply just two expressions that equal each other and their linear 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 first thing first, we have to do in our to solve this equation. We have two simplified, but it's already simplified. There is no need to distribute anything. We just have to rearrange it. So we want to get the W's to the left side. And in order to do that, we're gonna have to subtract this w here from the right side and from the left side. So we're gonna have four w minus three minus w. Because W plus five and is W So we're gonna have right here on the left side for W minus. W is simply gonna be three w and it's free. That's equal to W minus Soviets zero. So we forget about it. It's equal to five. And now we have three w minus three close five. So we wanna keep it arranging until we isolate W. So we're gonna have to get rid of this minus three on the left side. So we're gonna do it by adding three to both sides of the equation. So three w minus three. Lost three. Okay. Equals five plus three. So this is going to cost the three right here. The threes to cancel out on the left side. We're gonna be left with www. Uh, ministry plus three is just zero. So we forget about it equals five plus three, which is eight. So in order to isolate W, we're gonna have to take three times w and we're gonna have to divide it by three in order to get rid of the W in order to get rid of the 300 w. So we have three times of you divided by three. And what do we do? Toe one side of the equation we do to the other side. So we have eight divided by three or we're going to end up with W 33 Divided by three is just one. So it's just a view on the left side. This is equal to eight, divided by three Mhm plug in eight, divided by three until the WS and our original equation, which was for W minus three, equals W plus five. So let's see. Well, we could just use a cock later. So or kinds divided by three. And it's three is equal to data better by three us high. So if we use a calculator here, we can see that for times eight, divided by three is 10.67 and it's three is equal to eight. Divided by three is 2.67 plus five. So we're gonna simplify. Simplify both sides. That's gonna be 10.67 93 a 7.67 and I'm not. We're right Site 2.6 samples five is simply 7.67 20 w does equal eight. Divided by three

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