Question 81558
10x + 3 = 4x-4 + 1 [simplify wherever possible]
10x + 3 = 4x-3 
10x + 3-3 = 4x-3-3  [solve for the x-term]
10x = 4x-6
10x-4x = 4x-4x-6
6x=-6
6x/6=-6/6
x=-1
.
check by plugging (x=-1) back into the original equation
10x + 3 = 4(x -1) + 1
10(-1) + 3 = 4(-1 -1) + 1
-10 + 3 = 4(-2) + 1
-7 = -8 + 1
-7=-7 [checks out]