Respuesta :
Answer:
Moira didn't add [tex]10x[/tex] to both sides of the equation in the fourth step she applied (this is: [tex]12x - 10x = 44 - 10x + 10x[/tex]).
She can correct it applying the Addition property of equality and add [tex]10x[/tex] to both sides of the equation then she must apply the Division property of equality (See the procedure below).
Step-by-step explanation:
Given the equation:
[tex]12x + 10 = 54 - 10x[/tex]
The steps to solve it are:
1. According to the Subtraction property of equality, you we can subtract 10 from both sides of the equation:
[tex]12x + 10-10 = 54 - 10x-10\\\\12x = 44 - 10x[/tex]
2. Based on the Addition property of equality, you we can add [tex]10x[/tex] to both sides of the equation:
[tex]12x +10x= 44 - 10x+10x\\\\22x=44[/tex]
3. Finally, applying the Division property of equality, we must divide both sidesby 22:
[tex]\frac{22x}{2}=\frac{44}{22}\\\\x=2[/tex]
Therefore, she made an error in fourth step she applied:
[tex]12x - 10x = 44 - 10x + 10x[/tex]
Because she didn't add [tex]10x[/tex] to both sides of the equation.
She can correct it applying the Addition property of equality and add [tex]10x[/tex] to both sides of the equation and then she must apply the Division property of equality (As you can observe in the procedure shown above).
Moira didn't add 10x to both sides of the equation in the fourth step she applied that is
[tex]12x-10x = 44-10x+10x[/tex]
Step-by-step explanation:
Given :
[tex]12x +10=54-10x[/tex]
Solution :
Given that : [tex]12x +10=54-10x[/tex]
Now,
[tex]12x +10 +10x=54[/tex]
[tex]22x = 54 -10[/tex]
[tex]22x = 44[/tex]
[tex]x=2[/tex]
Moira didn't add 10x to both sides of the equation in the fourth step she applied that is
[tex]12x-10x = 44-10x+10x[/tex]
For more information, refer the link given below
https://brainly.com/question/11897796?referrer=searchResults
