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

2x - 7 ...

Question

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

2x - 7 = 6 + x

Accepted Answer

Hi this problem says to solve the given linear equation. Five x minus 11 equals seven plus two X. So I will go ahead and write it up seven plus two X. Now to solve this, we want to get all of our terms on either side of our equation. So what I mean by that is we have excess and we have numbers without access soon move all of our exes on one side and all of our X numbers without excess to the other side. So let's go ahead and write that up. If you look here we have a five X. And a positive two X. Let's say when I move all the excess to the left Well the five x will stay there. I can go ahead And move our two x - x. Because we had a plus two X will use minus now. What that does on the right side is going to cancel two X is plus two X minus two X. Just turns into zero. Now I can go ahead and bring down our result five x minus two X. Is three X. And we have a -11 that's left over. On the right side. We have a seven that's left over. No we can go ahead And move our 11 over. So I went at 11 to both sides Plus 11. That gets one of the 11 on the left and on the right You just have seven plus 11. So we have three X on one side, seven plus 11 on the other side which is 18. Finally we can divide both sides by 3 to get rid of the three. Well three and 3 on the left side goes away, leaving us with just X equals 18/3, which we know is six. So our solution to our problem is X equals six. Or answer C. Alright, I hope to help solve the problem. Thank you for watching. Goodbye.

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