Question

X-4=4-x

A value of x that makes the equation true is ___,which when substituted into the equation simplified makes the equation turn into _=_

It also wants…
A value of x that makes the equation false is __,which when substituted into the equation and simplified makes the equation turn into _=_

Answer 1

4 and any number other than 4

Explanation:

The first answer is 8. Solve the equation for x.

x-4 = 4-x

To get rid of the x on the right side, you must add x to both sides

(x) + x - 4 = (x) + 4 - x

On the right side x-x=0 so now you are left with 4 on the right side

On the left side x+x=2x so you have 2x-4 on the left side.

Now add 4 to both sides to get rid of the 4 on the left side.

(4) + 2x - 4 = (4) + 4

On the left side, 4-4=0 so you are left with 2x.

On the right side 4+4=8

So now you have 2x = 8. To finish solving for x, you now need to divide both sides by 2.

2x 8

---- = -----

2 2

On the left, 2 divided by 2 equals 1 so you are left with x.

On the right, 8 divided by 2 equals 4.

So now you know what X must equal 4 to make the equation TRUE.

Any number other than 4 will make the equation false.