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
ANEK [815]
3 years ago
14

Which equation has the solution x = 3?

Mathematics
1 answer:
arsen [322]3 years ago
8 0
Well, let's first solve each equation:

1.) -4x + 6 - 3x = 12 - 2x - 3x

To start, combine each like-term on each side of the equal sign (The numbers with variables in-common // the numbers alike on the same side of the equal sign):

-7x + 6 = 12 - 5x

Now, we get the two terms with variables attached to them, on the same side, so, we do the opposite of subtraction, which is, addition:

-7x + 6 = 12 - 5x
+5x +5x
_____________
-2x + 6 = 12

Next, you do the opposite of addition, which is, subtraction, and, subtract 6 from both sides:

-2x + 6 = 12
-6 -6
____________
-2x = 6

Finally, divide by -2 on each side, to find out what the value of 'x' is:

-2x = 6
÷-2 ÷-2
________
x = -3

So, the answer is not 'A.'
_________________________________________

Now, we test out the rest of the equations, the exact same way:

2.) 4x + 6 + 3x = 12 + 2x + 3x

Combine your like-terms, on each side of the equal sign:

7x + 6 = 12 + 5x

Now, get both terms, with the variable, 'x,' to the same side, and, to do that, do the opposite of addition, which is, subtraction:

7x + 6 = 12 + 5x
-5x -5x
______________
2x + 6 = 12

Next, subtract 6 from both sides:

2x + 6 = 12
-6 -6
__________
2x = 6

Finally, divide by 2, on both sides:

2x = 6
÷2 ÷2
__________
x = 3

So, the answer is 'B.'
_________________________________________

3.) 4x + 6 - 3x = 12 - 2x - 3x

Again, we combine the like-terms, on both sides of the equal sign:

x + 6 = 12 - 5x

Now, we get both terms with the variable 'x,' to the same side, and, the opposite of subtraction, is addition, so, we're going to add 5x to both sides:

x + 6 = 12 - 5x
+ 5x + 5x
______________
6x + 6 = 12

Now, we subtract 6 from each side, because, the opposite of addition, is subtraction:

6x + 6 = 12
- 6 - 6
_____________
6x = 6

Now, divide by 6, on both sides:

6x = 6
÷ 6 ÷ 6
_____________
x = 1

So, the answer is not 'C.'
_________________________________________

4.) 4x + 6 - 3x = 12x + 2x + 3x

First, we combine the like-terms:

x + 6 = 17x

Next, we get both terms, with the variable, 'x,' to the same side:

x + 6 = 17x
-x -x
_____________
6 = 16x

Now, divide by 16, on both sides:

X = 3/8

So, 'D,' is not the answer.
_______________________

The answer is, 'B.'

I hope this helps!
You might be interested in
PLZ HELP WILL NAME BRIANLIEST
Kamila [148]

Answer:

SORRY IF IM WRONG BUT I THINK ITS C

Step-by-step explanation:

PLEASE MARK BRAINLIEST REMOVE MY ANSWER IF WRONG!!!!!!!!

3 0
3 years ago
2(1/3x-5)=5/3x-11<br> can somebody help me ASAP
maw [93]

Answer: x=1 my friend

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A carpenter needs to cut down piece of wood that is 5.6 feet long to 1.71 feet . What is the measurement of the left over piece
7nadin3 [17]
Subtract the two numbers to find the measurement of the leftover piece
5.6 - 1.71 = 3.89 feet
7 0
3 years ago
A circle has a radius of length r. If you mark off an arc on the circle of length 3r. What is the measurment of of the angkebtha
katrin2010 [14]
The appropriate choice is ...
  A. 3 radians

_____
Arc length (s) is given in terms of radius (r) and central angle (θ) in radians by the formula
  s = rθ

When you substitute your given information, you have
  3r = rθ
Dividing by r gives
  θ = 3 . . . . . . . radians
3 0
2 years ago
Read 2 more answers
Missing angle - circle theorem / PLEASE HELP
xxMikexx [17]

Answer:

B

Step-by-step explanation:

angles on the circumference of a circle subtended on the same arc are congruent , then

x = 52°

3 0
2 years ago
Read 2 more answers
Other questions:
  • A study was conducted to determine the mean birth weight of a certain breed of kittens. Consider the birth weights of kittens to
    9·1 answer
  • A triangular field with vertices OPQ has sides OP = 402 m, PQ = 388 m, and QO = 254 m. Find the perpendicular distance from the
    13·1 answer
  • What the answer will has a piece of rope that is 22.5 meters long. He want to cut into pieces that are 1.25 meter long how many
    5·1 answer
  • Melissa bought 18 cupcakes and 2 gallons of fruit punch for her Valentine party if the cupcakes cost $0.33 each and the punch co
    8·1 answer
  • Which of the following sets contains the fewest numbers?
    7·1 answer
  • What is the value of 5 in 756 write and draw to explain how you know?
    15·2 answers
  • What is the slope of the line through (-2, 7) and (-5, -7)?
    12·1 answer
  • Need help finding the equation. A) y=2x B) y=5x C) y=x D) y=50x​
    9·1 answer
  • {(47,37 (12,17) (63,60)}
    13·2 answers
  • Which polynomial function gets larger and larger in the negative direction as x gets
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!