Concept:Solving a linear inequality by multiplying both sides by the least common multiple (LCM) to clear fractions.Explanation:Multiply both sides by 15 (the LCM of 3 and 5) to remove the fractions:5(5−3x)<6(3−7x)Expand both sides:25−15x<18−42xCollect x terms on the left and constants on the right:−15x+42x<18−2527x<−7Divide both sides by 27:x<27−7Answer:x<27−7, i.e. option D.