To cancel 2x, you need to do the 'inverse' to the other side.
4x+3= 2x+12
You would subtract 2x (on both sides) since it is a positive number. It is all about balance.
4x (-2x) +3= 2x (-2x) + 12
2x+3= 12 I will go ahead and solve for x.
Subtract 3 on both sides. (3 is positive)
2x= 9
Divide both sides by 2. (2 is being multiplied by x; do the inverse)
x= 4.5
We can always check our answer by plugging 4.5 in as x.
4(4.5)+3= 2(4.5)+12
21= 21
I hope this helps!
~kaikers