Question

solve the linear equation 1/2 [x+1] +1/3 [x-1]=5/12 [x-2]

Answer 1

1/2 (x+1)+1/3 (x-1)=5/12 (x-2)
x/2+1/2+x/3-1/3=5x/12-5/6
x/2+x/3-5x/12=1/3-5/6-1/2
6x+4x-5x/12=1/3-5/6-1/2
5x/12= -6/6
5x/12= -1
5x= -12
x= -12/5

Answer 2

check out this solution.