Fill in the blanks to complete the description of how to solve the equation. 28x − 56 = 22x − 65. First, get the variable on the left–hand side of the equation by subtracting 22x from both sides to get 6 x − 56 = −65. Next, use the____property of equality to isolate the variable.

Respuesta :

The next thing to do is to use the addition property of equality, adding 56 to both sides of the equation:

6x = -9

Now you will use the division property of equality in order to completely isolate the variable, dividing both sides of the equation by 6:

x = -9 / 6

Simplify the fraction into its simplest form:

x = -3/2 
Hope this helps and let me know if you have more questions!

The correct statement is that the addition property of equality will be used to isolate the variable. However there will also be division methods used to in the last few steps.

The calculation of the above equation will be simple and the method of calculation of the equation is shown in the explanation below.

  • The equation as given can be simplified and the value of variable x can be calculated as below,

  • [tex]28x - 56= 22x - 65\\\\6x-56=-65\\\\6x= -65 +56[/tex]

  • Calculating further,

  • [tex]6x = -9\\\\x= \dfrac{-9}{\ 6}[/tex]

  • The value of x is calculated as,

  • [tex]x= \dfrac{-3}{\ 2}\\\\x= -1.5[/tex]

  • So, the value of x is calculated as -1.5

Hence, the addition property of equality was used to in the next step where the value of variable was to be calculated.

To know more about, property of equality, click the link below.

https://brainly.com/question/13130806