winterblanco
06.07.2019 •
Mathematics
Which equation has the solution x = 3? 1 point −4x + 6 − 3x = 12 − 2x − 3x 4x + 6 + 3x = 12 + 2x + 3x 4x + 6 − 3x = 12 − 2x − 3x 4x + 6 − 3x = 12x + 2x + 3x
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Ответ:
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!
Ответ:
where’s the shape
Step-by-step explanation: