Alright, let's start by simplifying.
![-5x+10x+3=5x+6](https://tex.z-dn.net/?f=-5x%2B10x%2B3%3D5x%2B6)
Let's get all of the variables on one side.
Subtract 5x from each side to clear the right.
![-5x-5x+10x+3=6](https://tex.z-dn.net/?f=-5x-5x%2B10x%2B3%3D6)
We could also subtract out that 3...
![-5x-5x+10x=3](https://tex.z-dn.net/?f=-5x-5x%2B10x%3D3)
Combining like terms!
If we have 10x, and then subtract 5x and 5x...we're left with zero!
![0=3](https://tex.z-dn.net/?f=0%3D3)
However, this equation can't be true!
Since this always boils down to 0=3 (the variables don't even matter)...
There are
no solutions for x that could even make the equation true!