Question to Solve for x

Topic : Relation with identities

Question : Solve the expression
(x-1)/(4 + 2x) greater than or equal to (2x-1)/(3 +2)

Solution :
(x-1)/(4 + 2x) greater than or equal to (2x-1)/(3 +2)
(x-1+8x)/4 greater than or equal to (2x-1+6)/3
(9x-1) / 4 greater than or equal to (2x+5)/3
27x-3 greater than or equal to 8x +20
27x-8x greater than or equal to 20+3
19x greater than or equal to 23
x greater than or equal to 23/19