Question

Solve for the value of x:
(5x+1)(x+3)-8 = 5(x+1)(x+2).

Answer 1

Answer:

x=15

Step-by-step explanation:

Given, (5x+1)(x+3)−8=5(x+1)(x+2)

⇒ 5x^2+15x+x+3−8=5(x^2+2x+x+2)  ...[By Distribution Law]

⇒ 5x^2+16x−5=5(x^2+3x+2)

⇒ 5x^2+16x−5=5x^2+15x+10

⇒ 16x−5=15x+10 ...[Cancelling 5x^2 on both sides].

Transposing x terms to one side, we get,

⇒ 16x−15x=5+10

⇒ x=15.