6-4x=(3-x)
a) -2
b) 2
c) all real, numbers
d) no solution

6 - 4x = (3 - x)

Subtract 6 from both sides, as well as adding x to both sides.

-4x + x = 3 - 6

Add like terms.

-3x = -3

Divide both sides by -3.

x = 1

So, your answer is c) All real, numbers because all of the other answer choices are wrong. 

We know this because a) and b) are incorrect. To know if they are incorrect, you just plug in the numbers. When 2 and -2 are plugged into the equation, it is incorrect. So, you solve the equation, and you now know that it is not D) because there is a solution. 

So, once again, your answer is C.

~Hope I helped!~

Remember you can do anything to an equation as long as you do it to both sides

6-4x=3-x
add 4x to both sides
6=3+3x
minus 3 both sides
3=3x
divide both sides by 3
1=x
not an option
what