Question 477990
____________________________________________________

Ok I'll explain everything I did step by step
Here's your Problem

15-3x=12-2x



Since -2x contains the variable to solve for, move it to the left-hand side of the equation by adding 2x to both sides.
-3x+15+2x=12



Since -3x and 2x are like terms, subtract 2x from -3x to get -x.
-x+15=12



Since 15 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 15 from both sides.
-x=-15+12



Add 12 to -15 to get -3.
-x=-3



Multiply each term in the equation by -1.



-x*-1=-3*-1


Multiply -x by -1 to get x.


x=-3*-1



Multiply -3 by -1 to get 3.



x=3

Your Answer is 3

NOW CHECK YOUR ANSWER:
__________________________


Now that you have your answer you have to check your problem to see if it's correct. You accomplish this by replacing the variable x with what you got which was 3 so go back to your original problem



15-3x=12-2x



and you replace x with 3 since we figured out x=3


so 


15-3*(3)=12-2*(3)



Multiply -3 by each term inside the parentheses.



15-9=12-2*(3)



Subtract 9 from 15 to get 6.



6=12-2*(3)



Multiply -2 by each term inside the parentheses.



6=12-6



Subtract 6 from 12 to get 6.

6=6

Since 6=6, the equation will always be true.

So x=3 which means were correct!