Step 1: Subtract 3/8 from both sides
1/x+3/8-3/8=1/4-3/8
1/x=1/4-3/8
Step 2: Multiply 1/4 by 1/2
1/x=(1/4)(1/2)-3/8
1/x=2/8-3/8
Step 3: Subtract
1/x=-1/8
Step 5: Multiply by x on both sides
1/x(x)=-1/8(x)
1=-1/8x
Step 6: Divide -1/8
1/(-1/8)=-1/8x/(1/8)
*You can times flip
1(-8)=-1/8x(8)
-8=-x
*Divide by -1
-8/-1=-x/-1
8=x