Answer:
b=5
Step-by-step explanation:
−4+bx=2x+3(x+1) (expand parenthesis first, i.e PEDMAS)
−4 + bx = 2x + 3x + 3
−4 + bx = 5x + 3 (move all x terms to one side and constants to another)
5x - bx = - 4 -3
5x - bx = - 7 (factor out x)
(5 - b)x = - 7
x = -7 / (5-b)
we can see that 5-b is in the denominator. Recall that for a fraction, the denominator cannot be zero otherwise the expression is undefined. (i.e no solutions)
hence the expression is undefined if,
(5-b) = 0
or b = 5
