How do you solve #2x+18+4x=-2x+10#?
1 Answer
Add like terms, invert terms by switching their signs, add like terms again, and isolate for
Explanation:
Ultimately, we are to isolate
First off, what we have to do is to add like terms, making the equation easier to work with.
#2x+18+4x=-2x+10#
#18+6x=-2x+10#
That's as far as we can go. However, we can bring some terms to the other side of the equal sign. So let's do that in such a way where all like terms are on one side of the equal sign. When doing this, you must invert the value: negatives become positive and vice versa.
#6x+2x=-18+10#
Now, we can add like terms once more.
#8x=-8#
Finally, we can isolate
#(8x)/8=-8/8#
#x=-1#
As a result, we get
#2x+18+4x=-2x+10#
#2(-1)+18+4(-1)=-2(-1)+10#
#-2+18-4=2+10#
#12=12#
As you can see, both sides of the equal sign are equal to each other. Therefore, we can conclude that
Hope this helps :)