anonymous
  • anonymous
WILL MEDAL AND FAN, JUST NEED HELP REVIEWING
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
I just need someone to help me work out the answer!
anonymous
  • anonymous
Solve for x: 3(x + 1) = −2(x − 1) − 4.
anonymous
  • anonymous
answer choices: 1 −1 −5 −25

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anonymous
  • anonymous
I know you do the parenthesis first, right?
mathstudent55
  • mathstudent55
Yes. Distribute the 3 on the left side, and distribute the -2 on the right side. That gets rid of the parentheses on both sides. What do you get?
anonymous
  • anonymous
-2x +1 = 3x-5?? I duck at this stuff
anonymous
  • anonymous
lol I meant suck
mathstudent55
  • mathstudent55
Let's do it one step at a time. We start with the original equation: |dw:1433462580564:dw|
mathstudent55
  • mathstudent55
Now we distribute the 3 on the left side. To distribute a number by a quantity in parentheses, we multiply the number outside the parentheses by each term inside the parentheses. Let's do just the left side first.
anonymous
  • anonymous
Oh, the distributive property!
mathstudent55
  • mathstudent55
|dw:1433462685387:dw|
anonymous
  • anonymous
-2x -2 x 1 -4 ??
mathstudent55
  • mathstudent55
Yes, we are using the distributive property of multiplication over addition on the left side. You see, 3(x + 1) turns into 3 * x + 3 * 1. We will simplify that in the next step.
mathstudent55
  • mathstudent55
Now let's do the distributive property on the right side. |dw:1433462795731:dw|
mathstudent55
  • mathstudent55
You need to be careful with the signs on the left side.
mathstudent55
  • mathstudent55
Now we simplify both sides.
mathstudent55
  • mathstudent55
|dw:1433462877297:dw|
anonymous
  • anonymous
3x+3= -2x +2-4 ??
mathstudent55
  • mathstudent55
Exactly.
anonymous
  • anonymous
now, we have to solve it!?
mathstudent55
  • mathstudent55
Now we collect like terms on the right side. 2 and -4 are like terms. They both have no variable. We can combine them together. |dw:1433462994203:dw|
anonymous
  • anonymous
ok I am following you
mathstudent55
  • mathstudent55
Since we are solving for x, we want x by itself on the left side and the numbers by themselves on the right side. Let's deal with the terms with x first. We see -2x on the right side. Since the term -2x and the term -2 (both on the right side) are being added together, we add 2x to both sides to move the -2x to the left side. |dw:1433463153571:dw|
mathstudent55
  • mathstudent55
Great.
anonymous
  • anonymous
then you add 3 to both sides? Or do you get rid of x?
anonymous
  • anonymous
I mean subtract
mathstudent55
  • mathstudent55
Subtract is correct. Now we have all terms with x on the left side. Now we need to get all terms that are just numbers on the right side. We see on the left side that 3 is being added to 5x. We want that 3 on the right side, so we subtract 3 from both sides.
mathstudent55
  • mathstudent55
|dw:1433463277247:dw|
anonymous
  • anonymous
5x = -5
mathstudent55
  • mathstudent55
Exactly.
anonymous
  • anonymous
divide both sides by positive 5
anonymous
  • anonymous
to get x= -1 !!??
mathstudent55
  • mathstudent55
We still want the x by itself, but there is a 5 with the x. The 5 is multiplying the x. We do the opposite operation to multiplication which is division. We divide both sides by 5.
mathstudent55
  • mathstudent55
|dw:1433463388210:dw|
anonymous
  • anonymous
Thank you so much for your help! Wish me luck....
mathstudent55
  • mathstudent55
One final thing. With many problems, you answer them, and you don;t really know whether the answer is correct or incorrect until your teacher grades your work. With an equation, we can find out by ourselves if x = -1 is really correct or not.
anonymous
  • anonymous
you fill in the number?
mathstudent55
  • mathstudent55
By stating that x = -1, we are saying that if we plug in -1 for x in the equation, the equation will be true. Let's check it for ourselves: In the second line below, I replaced x with our solution, -1. |dw:1433463548144:dw|
mathstudent55
  • mathstudent55
Now we work out the math to see if the statement above is true. If it is true, then x = -1 is the correct solution.
mathstudent55
  • mathstudent55
|dw:1433463631425:dw|
mathstudent55
  • mathstudent55
The solution is x = -1. We were correct.
anonymous
  • anonymous
YAYY! Thanks, again.. I gave you a medal and fanned you.
mathstudent55
  • mathstudent55
Good luck with your studies. If you see me online again and have a question, don't hesitate to ask. It's been great working with you!
anonymous
  • anonymous
Wait, do you mind helping with one more? I will open new question if you want?!
mathstudent55
  • mathstudent55
No problem. Please start a new post. I'll help you there.

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