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