Question

2x-1/6 = 2(x-3)/3 + 1?

Answer 1

2x - 1 = 2(x-3)
6 3 + 1
2x - 1 = 2x - 6
6 4
4(2x - 1) = 6(2x-6)
8x - 8 = 12x - 36
-8x -8x
-8 = 4x - 36
+36 +36
28 = 4x
28 = 4x
4 4
7 = x

Answer 2

`2x-(1)/(6)=(2(x-3))/(3)+1\ \ \ \ |multiply\ both\ sides\ by\ 6\\\\6(2x)-6((1)/(6))=6\left((2x-6)/(3)\right)+6(1)\\\\12x-1=2(2x-6)+6\\\\12x-1=2(2x)+2(-6)+6\\\\12x-1=4x-12+6\\\\12x-1=4x-6\ \ \ \ |add\ 1\ to\ both\ sides\\\\12x=4x-5\ \ \ \ \ |subtract\ 4x\ from\ both\ sides\\\\8x=-5\ \ \ \ |divide\ both\ sides\ by\ 8\\\\\boxed{\boxed{x=-(5)/(8)}}`