So, since it's linear, I assume we have
(2/5)(x-1) + (5/2)(x+2) = (3/2)(x-2)
Let's multiply through by the LCM of 2 and 5 (i.e., 10) to clear the fractions...this gives
4(x-1) + 25(x + 2) = 15(x-2) simplify
4x - 4 + 25x + 50 = 15x - 30 combine like terms
29x + 46 = 15x - 30 subtract 46 from both sides and subtract 15x from both sides
14x = -76 divide both sides by 14
x = -76/14 = -38/7
