Simplify both sides of the equation
5/6 x +7= 12 -5/12 x
5/6 x +7= 12+ -5/12 x
5/6 x +7 = -5/12 x +12
Add 5/12x to both sides
5/6 x +7 + 5/12 x= -5/12 x +12+5/12 x
5/4 x +7 = 12
Subtract 7 from both sides
5/4 x +7-7 = 12-7
5/4 x = 5
Multiply both sides by 4/5
(4/5)*(5/4 x) = (4/5)*5
x= 4
I hope that's help !