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Problem

Solve the following equations. See Section 2.1. $…
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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 103 Problem 104

Problem 55 Hard Difficulty

Solve the following equations. See Section 2.1.
$$
3(x-2)+5 x=6 x-16
$$

Answer

$\{-5\}$

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Chapter 3

Graphs and Functions

Section 1

Graphing Equations

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Problem 16
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Video Transcript

we're given the equation three times X minus to plus five X equals six X minus 60 and we're told to solve for X. So let's go ahead and see if we can simplify any of the sods. We have a left side and I rot side on the right side. I see. We have six X minus 16. There's nothing acting combine so the right side is ready to begin solving. But the left side we have several things. Weaken Dio. The first thing we can do is distributive property to get rid of that parentheses. So we have three times eggs three x three times negative to its negative six and I'm gonna bring my five X dale. I'm also going to go ahead and I'm gonna bring my right side of six X minus 16 down. I also noticed that on the left side I have a three x and I have a positive five X. They are like terms, and they're on the same side on the left side so I can combine these two terms so three x plus five x will give me eight x minus six equals six X minus 16. Now, both the left side and the right side or simplified. So now we're ready to start solving for X. So we're gonna get our X on the left side of the equal sign and all other numbers on the right side. So let's start by moving our six x over. Since the six X is positive, we're going to subtract six X on both sides. It's gonna cancel out on the right and leave me with eight X minus 66 is two x modest six equals Negative 16. Now we need to move this six over to the right side, so it's minus six. So we're gonna add six because we have to do the opposite. So that leaves me some cancel out on the left side. Leaves me with two X and negative 16 plus six. We're actually going to subtract is gonna be negative tear. We've almost finished isolating the eggs. However, we have a two times X equals negative 10. So we need to divide by two because the two and the eggs have been multiplied together. And when I divide two by two, that cancels out and leaves me with X and negative. 10. Divided by two is negative. Five. So the solution is negative. Bus

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