Question

Solve for x: 5x (x+3)+1 (x+3)-8=5 (x+1)(x+2)

Answer 1

$\huge\mathcal{Answer \ :-}$

$\tt\red{Given \ :-}$

$\mathsf{5x(x + 3) + 1(x + 3) - 8 = 5(x + 1)}$
$\mathsf{(x + 2)}$

$\mathsf{=> \ 5x^2 + 15x + x + 3 - 8 \ =}$
$\mathsf{5(x^2 + 2x + x + 2)}$

$\mathsf{=> \ 5x^2 + 16x -5 \ = \ 5x^2 + 10x + 5x}$
$\mathsf{+ 10}$

$\mathsf{=> \ 5x^2 + 16x - 5 \ = \ 5x^2 + 15x + 10}$

$\mathsf{=> \ 5x^2 - 5x^2 + 16x - 15x \ = \ 10 + 5}$

$\mathsf{=> \ x \ = \ 15}$

$\huge\mathfrak{Hope \ this \ helps.}$

Answer 2

5x²+15x+x+3-8=5(x²+2x+x+2)
5x²+15x+x+3-8=5x²+10x+5x+10
5x²+16x-5=5x²+15x+10
16x-15x=10+5
x=15
:-) hopes this helpful for you