In Exercises 1–26, solve and check each linear equation. 2 - (...

Question

In Exercises 1–26, solve and check each linear equation. 2 - (7x + 5) = 13 - 3x

Accepted Answer

So this problem tells us to solve the given linear equation five X -3 X -1 equals seven. So I'm gonna go ahead and rewrite it just real quick five x -3 x -1 equals seven. So you notice here we have a negative outside of that parenthesis. Since we have a negative there, I'm going to distribute that negative to both our three X and R negative one. So would I do that? I will bring down my five x. Then we have a negative three X minus one. So negative times three X is negative three X Negative Times Native one is a positive one. Now the right side just says a servant because we didn't do anything to it. Now we can go ahead and combine like terms. So you notice here we have a five X. And three X. On the left side. We can actually combine those terms together because they're both on the same side at five x minus three X. That turns into two X. It's one equal 7. Drop the rest of the stuff down. Now we want our X by itself on the left side. So let's go ahead and move over that negative one and positive one we're gonna go and subtract by one on both sides. You have to X. Slip on the left side Through positive 1 -1 does go away And we get 7 -1 on the right side which turns into six. We have two X equals six. We can divide both sides by two and you get rid of that too. Do that. Get X by itself on the left, and we get six. Number two on the right side, which is three, Sends a solution to our equation. Is x equals three, which is answer c. Alright, thank you for watching. I hope to help you solve the problem. Goodbye.

In Exercises 1–26, solve and check each linear equation. 2 - (7x + 5) = 13 - 3x

Key Concepts

Linear Equations

Distributive Property

Checking Solutions

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