Question 471527
Assume the problem is:
{{{1/12}}} - {{{((x-1))/12}}} = {{{-1/4}}} 
multiply by the common denominator
12*{{{1/12}}} - 12*{{{((x-1))/12}}} = 12*{{{-1/4}}} 
Cancel the denominators
1 - (x-1) = -3
Removing the bracket changes the signs to:
1 - x + 1 = -3
-x + 1 + 1 = -3
-x + 2 = -3
subtract 2 from both sides
-x = -3 -2
-x = -5
multiply both sides by -1
x = 5
:
:
See if that flies in the original equation
{{{1/12}}} - {{{((5-1))/12}}} = {{{-1/4}}}
{{{1/12}}} - {{{4/12}}} = {{{-3/12}}}