1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IrinaK [193]
3 years ago
9

3(x – 2) = 22 – x How many solutions exist for the equation?

Mathematics
2 answers:
Naily [24]3 years ago
7 0
3(x - 2) = 22 - x

First, we need to expand the problem (remove parentheses). The 3 outside will need to multiply into each term inside the parentheses. 
3x - 6 = 22 - x

Second, since our goal is to get the variable on one side by itself, we can start by adding 6 to each side. 
3x = 22 - x + 6

Third, now we need to simplify the right side of the problem. 22 - x + 6, don't look at the variable in between the 22 and 6, and just add those two numbers. This will allow the solution to 22 + 6 to be subtracted to x.
3x = 28 - x

Fourth, knowing that we have to get the variable (x) by itself on one side, we can continue by adding 'x' to both sides, which will flip the problem around.
3x + x = 28

Fifth, we can simplify 3x + x now. Basically, the variable by itself is considered a (1). So, now we can look at it as 3x + 1, which equals 4x.
4x = 28

Sixth, still focusing on the goal of getting the variable by itself, we can remove the 4 from the x by dividing both sides by 4. This will create a fraction.
x =  \frac{28}{4}

Seventh, ask yourself, what times 4 equals 28? Another way to look at 28/4 is (28 \div 4 , anyway you put it, your answer should be 7. Now we know that there is only one solution for this problem.
x = 7

Answer: \fbox {x = 7}
matrenka [14]3 years ago
3 0

Answer:

infinitely many

Step-by-step explanation:

You might be interested in
Julian has a computer game that responds with either "go" or "stop" when a button is pressed. The probability that the response
Ganezh [65]

Answer:

Step-by-step explanation:

I think you are just asking for the decimal answers.

3/20 = 0.15

9/50 = 0.18

38/200 = 0.19

4 0
3 years ago
....pls help me :((((((
Rina8888 [55]

Answer:

y= -7

Step-by-step explanation:

So first distribute the 8

4=8y+32-4y

now combine like terms (the -4y+8y)

4=32+4y

Subtract 32 on both sides to isolate 4y

-28=4y

now divide 4 on both sides to isolate Y

-7=y

so y= -7

5 0
2 years ago
Two runners, same time. Alan travels east at a uniform rate that is 2 mph faster than ed, who is traveling west. After two hours
True [87]
Ed is going 12 miles per hour.
5 0
3 years ago
The rock band, Screamin’ Meanies, has a fan club that publishes a monthly newsletter. Expenses are $.35 for printing and mailing
NemiM [27]
2 days to get this apology. its really does suck to not get your question answered in the firs ten min  <span />
7 0
3 years ago
Read 2 more answers
A food bank is collecting cans to help people this Thanksgiving. The food bank started off with 40 cans of green beans and they
seropon [69]
75%  30/40= .75
Hope this helps 
7 0
3 years ago
Other questions:
  • What is the best path to convert 100 liters to pints?
    5·2 answers
  • Francis teaches the piano. He charges each student an enrollment fee of $100 plus $15 per hour of piano lessons. The average cos
    8·1 answer
  • Simplify the problem using the distributive property.<br> 2(3x-5)<br> 4- 3(x+1)
    12·2 answers
  • You need a 55% alcohol solution. On hand, you have a 330 mL of a 80% alcohol mixture. How much pure water will you need to add t
    12·1 answer
  • the side length of a cube can be represented by the expression 2x^5. if the side length is doubled, write an expression to repre
    13·1 answer
  • If f(x)=4x+8 and g(x)=√x+4, what is (f*g)(12)?
    5·1 answer
  • Tan(2 sin^-1 0.4)<br> Find the Exact value
    5·1 answer
  • What do factors 16 and 24 have in common? plz help
    8·2 answers
  • Find the measure of the missing angle.
    10·2 answers
  • 8 trig review please help me
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!