4(x-1)=8(x-2)
multiply the first bracket by 4
(4)(x)=4
(4)(-1)=-4
multiply the second bracket by 8
(8)(x)=8x
(8)(-2)=-16
4x-4=8x-16
move 8x to the other side ( in other words combine like terms)
sign changes from +8x to -8x
4x-8x-4=8x-8x-16
-4x-4=-16
move -4 to the other side
-4x-4+4=-16+4
-4x=-12
divide both sides by -4 to get x by itself
-4x/-4=-12/-4
x=3
answer:
x=3