Question

Could someone give me a quick lesson about absolute value equations & use this problem? reward will be given. Solve for x: −5|x + 1| = 10

Answer 1

|-5x+5|=10
( -5x+5)^{2}=10^{2}/
25x^2-50x+25=100
25x^2-50x-75=0
x^2-2x-3=0
(x-3)(x+1)
x=3 or x=-1