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

x - 5(x...

Question

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

x - 5(x + 3) = 13

Accepted Answer

So this problem tells us to solve the given Leonard equation two X minus eight times X plus eight equals two. So let's go ahead and rewrite this real quick. We have two X - Times X-plus eight equals two. So our first step appears to distribute this negative eight because eight multiplying an equation or expression, we can't really do anything with it yet. So let's go ahead and multiply The -8 to both numbers. So we did that, we'll go ahead and bring down what's left over to X is what's left over first. Now we can multiply our negative eight in our X plus eight we have negative eight times X which is negative eight X. -8 tons positive eight is -64. This is going to equal to now we can go ahead and combine our like terms. So if we notice here on the left side we have a two x minus and eight X. Both the X. Is on the same side. So we can actually subtract those directly. So we have a two x minus an eight X two minus eight, gives us negative six X. Now bring down our -64 and R. two. Now I want eggs by itself on the left side so I'm gonna move that 64 over. Let's add 64 in both scents. Now if you look Are negative 64 and a positive 64 those are going to cancel each other out. So the left side is gone. That just leaves us with native six X. On the left side on the right side, we have two plus 64. Well, two plus 64 is 66. Now we have Native six X equals 66. Finally, we can divide both sides by -6. We do that. The Native six on the left side goes away just leaving us with an X. On the right side. We have 66 divided by -6. That turns into and negative 11. So the solution to our expression X equals negative 11. Being our answer is answer B. Okay. I hope to help you solve the problem. Thank you for watching. Goodbye.

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

Key Concepts

Linear Equations

Distributive Property

Checking Solutions

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