Answer:
Expression that is to be deducted will be (6x + 3).
Step-by-step explanation:
Let the linear expression that is to be subtracted from the given expression (5x + 3) is (ax + b).
After subtracting (ax + b) from (5x + 3) the remainder is (-x)
(5x + 3) - (ax + b) = -x
(5x - ax) + (3 - b) = -x
(5 - a)x + (3 - b) = -x
By comparing coefficients,
(5 - a) = -1
a = 5 + 1
a = 6
(3 - b) = 0
b = 3
Therefore, expression that is to be deducted from (5x + 3) will be (6x + 3).