In Exercises 1–26, solve and check each linear equation.

2(x - 1...

Question

In Exercises 1–26, solve and check each linear equation.

2(x - 1) + 3 = x - 3(x + 1)

Accepted Answer

this problem is to solve the given linear equation six times X minus five plus nine equals x minus 12 times X plus six. So, let me first rewrite this. We have six Times X -5 plus nine x manage 12 as X plus six. Now I want to go ahead and distribute some of our numbers unless we have a six multiplier, X minus five and a 12 multiplier X plus six. Especially a negative 12. Let's go ahead and distribute these numbers. We have six times X and six times negative five Over here. We have a negative 12 times X and negative 12 times six. So I'm gonna go ahead and shift does and rewrite again. You have six times x which is six x. six times -5 is -30. Then we have our plus nine which just comes down. Now the other side we have an X. We have a negative 12 times X which is negative 12 X. And a negative 12 times six which is negative 72. I was gonna go ahead and combine some of our terms. So we have a six X here negative 30 and a nine on this set. Well, the only thing we can combine our our negative 30 and our nine. So we can go ahead and add those together went down at six X. Negative 30 plus nine is negative 21 Same thing on the right side. We can only combine our exes. So we have x minus 12 X. That is negative 11 X. Our 72 - City to just comes down. No, we want to put all of our terms on one side. So in other words I'm gonna put all of our exes on one side and all of our numbers on the other side. So we have a six X. And a negative 11 X. Well I'm gonna move the X to the other side. Let's say you move this 11 over plus 11 X. We'll add it to this side as well because we have to do it on both sides. We did that our levels cancel. And on the other side we have six plus 11 which is 17 X. Bring down our negative 21 bring down our negative 72. Now we can go ahead and add our 21. You want both sides on the left side. It cancels out just leaving us with 17 X. On the right side we have negative 72 plus 21. That is going to be -21. Finally we can divide both sides by 17. So at this side of 17 this other side by 17 we do that 17th cancel on the left side. Just leaving us with X. And the right side we have negative 51/17 which is negative three. We have a solution x equals negative three which means the answer to our problem is answers. See okay I'll help you solve the problem. Thank you for watching. Goodbye

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