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
Maslowich
3 years ago
5

Can someone please explain why x= -2! ASAP!!

Mathematics
2 answers:
bearhunter [10]3 years ago
6 0
Because you add both negative x’s which is -2 and add the -6 in the right side so then it’s -2x=4
Divide and you get x=-2
ira [324]3 years ago
5 0

9514 1404 393

Answer:

  x = -2 because that is the value that makes the equation true

Step-by-step explanation:

Minus signs are everywhere. They can all be eliminated by multiplying both sides of the equation by -1.

  -1(-x -6 -x) = -1(-2)

  (-1)(-x) +(-1)(-6) +(-1)(-x) = 2 . . . . . distribute the -1

  x + 6 + x = 2 . . . . . . . . simplify

  x + x + 6 = 2 . . . . . . . . rearrange

  (1 +1)x +6 = 2 . . . . . . . . factor, using the distributive property

  2x +6 = 2 . . . . . . . . . . . simplify

  2x +6 -6 = 2 -6 . . . . . . subtract 6 from both sides

  2x = -4 . . . . . . . . . . . . . simplify

  (2x)/2 = (-4)/2 . . . . . . . divide both sides by 2

  x = -2 . . . . . . . . . . . . . . simplify

x is -2 because that is the value we get when we apply the <em>properties of equality</em> to the equation. We can check to see if it works in the original equation.

<em><u>Check</u></em>

-x -6 -x = -2

-(-2) -6 -(-2) = -2 . . . . put -2 where x is

2 -6 +2 = -2 . . . . . . . . simplify the signs

-4 +2 = -2 . . . . . . . . . . add the first two terms (could do all at once)

-2 = -2 . . . . . . . . yes, the value of x=-2 makes the equation true

_____

<em>Additional comment</em>

The <em>properties of equality</em> we're concerned with here are the <em>multiplication property of equality</em>, the <em>addition property of equality</em> and the <em>division property of equality</em>. Respectively, these tell us that multiplying, adding, or dividing both sides of the equation by the same number doesn't change the value of the variable.

These properties are essential to understanding how algebra works.

You might be interested in
Help please I will mark brainliest!
ruslelena [56]

Answer:

multiply 8 x 4=22

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
27. Jacob collects hats. He has 6 hats already and collects 2
Alex_Xolod [135]
It’ll take 13 weeks.
7 0
2 years ago
A rectangular field is 1/3 as wide as it is long and is enclosed by x yards of fencing. What is the area of the field in terms o
frozen [14]

Answer:

It is 1/3x wide

Step-by-step explanation:

add the terms, the answer is 1/3x

3 0
3 years ago
When I add a number to another number four times as big, the result is 30. find the first number
Alex73 [517]

Answer:

x = 6

Step-by-step explanation:

Let x = first number

x+4x = 30

5x = 30

Divide by 5

5x/5 =30/5

x = 6

3 0
2 years ago
Read 2 more answers
Please help me with this!!
Troyanec [42]

Answer:

As the height increases, the temperature decreases.

It is decreasing 5°C per kilometer.

At the height 8 km the temperature is 0°.

5 0
2 years ago
Other questions:
  • write down the coordinates of the point 5 units to the left of the y axis and 3 units above the x axis
    11·1 answer
  •  What is the distance from P(2, –5) to the line y = –8? <br>a. –6 <br>b. 3 <br>c. 5<br> d. 10
    8·1 answer
  • 3(x - 1) - 8 = 4(1+x) + 5​
    5·2 answers
  • 35 - 8 break apart ones to subtract
    11·1 answer
  • John’s age is three times that of Alan’s. Ralph’s age is twice that of Alan’s.
    10·2 answers
  • Your height is 5 feet and 1 inches. Your friend’s height is 5.6 feet. <br> Who is taller? Explain.
    15·1 answer
  • Which expression is equivalent to (2x^2 +3)(x+4)???​
    5·2 answers
  • What is the domain of f(x)=(1/3)^x
    5·1 answer
  • Please help me this is all my grade!!!!
    14·1 answer
  • Four city parks have identical rectangular swimming pools. The total area of all four pools is 14,400 square feet.If each pool i
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!