Alright so I will solve and explain as I go :)
First, let's combine like terms.
-3x + 1 + 10x = x + 4
7x + 1 = x + 4
Now, subtract the one from the left. (we do this to combine terms)
7x + 1 = x+ 4
7x = x + 3
Now subtract the x from the right. (this is also to combine terms)
7x = x + 3
6x = 3
Finally, divide by 6 on both sides.
6x = 3
x = 1/2 or 0.5
Hope this helps!