In Exercises 1–26, solve and check each linear equation. 16 = ...

Question

In Exercises 1–26, solve and check each linear equation. 16 = 3(x - 1) - (x - 7)

Accepted Answer

So this problem tells us to solve the given linear equation six times X minus 84. 6. Go ahead and rewrite that. You have six times X minus eight equals 84. So the first step we should do here is that there should be are six to both our X and our negative eight because we have six times an expression. So this should be the six to the X and the 6 to the -8. You can do that. We get six times X, which comes out to be six X. Six times negative eight. It's negative 48 Down the right side, we bring down our 84 so we didn't touch it at all. Now we can do a little bit of certification. So if you notice here we have a six X minus 48 but I really want all of my exes to be on one side. So do that. I want to move that negative 48 To do that. I'm going to add both sides by 48. When I do that, The 48 and the -48 on the left will cancel each other out. I just bring down my six x. Now on the right side we have 84 plus 48. That turns out to be 132. So now we have six x equals 132. Now I want to get X by itself. So I'm gonna go ahead and divide both sides by six. It's multiplying but that would be the obstacles fine in this case. So you have A six X or six. Get rid of our sixes. We get X on one side to the other side. We have divided by six, so 1 32/6. That is equal to 22. So our answer to solution is X equals 22. Or answer D. Alright, I hope that you solve the problem. Thank you for watching. Goodbye.

In Exercises 1–26, solve and check each linear equation. 16 = 3(x - 1) - (x - 7)

Key Concepts

Distributive Property

Combining Like Terms

Solving Linear Equations

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