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shepuryov [24]
2 years ago
9

Solve the equation 4-2(x+7)=3(x+5) =

Mathematics
2 answers:
kumpel [21]2 years ago
8 0

Hi there!


To solve this equation, I first would like to warn you about the long answer I am about to post for you. I'll be putting in very detailed steps for you, showing you how to simplify and distribute numbers, etc. :)


Let us solve your equation step-by-step.


Step 1) Simplify both sides of the equation.


To simplify this, we will...


4 + (-2) (x) + (-2) (7) = (3) (x) + (3) (5)


4 + - 2x + - 14 = 3x + 15


(-2x) + (4 + - 14) = 3x + 15


Now, we combine Like Terms...


-2x + - 10 = 3x + 15


-2x - 10 = 3x + 15


Fwew! That was probably going to be the longest step here!


Step 2) Subtract 3x from both sides.


- 2x - 10 - 3x = 3x + 15 - 3x


- 5x - 10 = 15


Step 3) Add 10 to both sides.


- 5x - 10 + 10 = 15 + 10


- 5x = 25


Step 4) Divide both sides by -5.


-5x/-5 = 25/-5


So, our final answer is x = -5.


Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

KonstantinChe [14]2 years ago
8 0
4-2(x+7)=3(x+5)
4-2x-14=3x+15
2x-3x=15-4+14
-x=15
(x=-15)
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How do I find the answers to 17, 19, and 20?
Irina18 [472]

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17. 6

18. 18 (as shown)

19. 10/3 = 3 1/3

20. 20/3 = 6 2/3

Step-by-step explanation:

17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.

19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...

... GD = (1/3) CD = (1/3)·10 = 10/3

... GD = 3 1/3

20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.

... CG = CD -GD = 10 -3 1/3

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_____

<em>Comment on centroid and median</em>

The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.

The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.

Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)

3 0
3 years ago
What is -5/8 / 9/10 ?<br><br> A. -25/36<br><br> B. -9/16<br><br> C. -45/80<br><br> D. -1/36
Ivenika [448]
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4 0
2 years ago
What value makes the equation true? 2(x-5)=20
SashulF [63]

2(x-5)=20

Divide both sides by 2  (division of property equality)

x - 5 = 10

Add 5 to both sides     (addition of property equality)

x = 15

Answer

x = 15 is the solution

6 0
2 years ago
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