Concept:Evaluating a 2×2 determinant and solving the resulting linear equation.Explanation:For a matrix acbd, the determinant is ad−bc.So the left-hand side becomes:(5)(2)−(3)(x)=10−3xThe right-hand side becomes:(3)(5)−(5)(4)=15−20=−5Set both sides equal:10−3x=−5Subtract 10 from both sides:−3x=−15Divide by −3:x=5Answer:x=5, which is option C.