Question

Mika used these steps to solve the equation 5x−12=−2+5(x−2). Which choice describes the meaning of her result, −12=−12?

Answer 1

5x - 12 = -2 + 5(x-2)


now, -2 + 5 (x-2) is the choice who describes the meaning of her result , -12 = -12

Answer 2

The options for this question are missing:

Here are the missing options:

a. The result is not correct because the solution should be a positive integer

b. No values of x

make the equation true.

c. the solution is x = -12

d. all values of x make the equation true

Answer:

5x−12=−2+5(x−2)

multiply 5 by all in parentheses first

5x - 12= -2 + (5*x) + (5*-2)

5x - 12= -2 + 5x - 10

5x - 12= 5x - 12

if you subtract 5x from one side and add 12 to the other the solution is:

0= 0

This equation is one that is always true. No matter what number you put in for x, it will always be true.

Example:

5x - 12= 5x - 12

5(4) - 12= 5(4) - 12

20 - 12= 20 - 12

8= 8

Example:

5(-100) - 12= 5(-100) - 12

-500 - 12= -500 - 12

-512= -512

This will happen no matter what number x is.

If there is any confusion please leave a comment below.