Help w/ Math

4x-5=1/2(x-10)

4x-5=1/2x-5

4x-5-1/2x+5=0

4x-1/2x=0

4x=1/2x

x is zero

Going from here, Midway....

4x=1/2x    multiply both sides by 2

8x  = 1x     subtract 1x from both sides

8x - 1x  = 0       factor

x ( 8 - 1)  = 0

7x  = 0     divide both sides by 7

x  = 0 / 7   = 0

Wouldnt you stop at 

8x=1x

8x-1x=7x

7x=0 OH I GET IT cause you HAVE to have the x By its self!

Note, Midway

8x  = 1x     subtract 1x from both sides

8x - 1x  = 1x - 1x

8x - 1x   = 0

And go from here.....

You got it  .....!!!!