1/4x + 1/3 = 1/6x - 1/4
We simply want to isolate x.
So, we must get x onto it's own side of the equal sign.
To do that, we subtract 1/3 from both sides.
1/4x = 1/6x - 1/4 - 1/3
Then, subtract 1/6x from both sides.
1/4x - 1/6x = -1/4 - 1/3
Simplify.
1/4x → 3/12x ; -1/6x → -2/12x ; -1/4 → -3/12 ; -1/3 → -4/12
Plug these into our equation.
3/12x - 2/12x = -3/12 - 4/12
Simplify.
1/12x = -7/12
Multiply everything by 12.
12 · 1/12x = -7/12 · 12
Simplify.
x = -7
~Hope I helped!~