The value of x would equal to 8
The triangles are similar by the SSS (side-side-side) similarity theorem because the sides of the two triangles are in proportion (5/15 = 3/9 = 4/12)
Hope this helps =)
Let's separate this absolute value equation into two different equations.
x + 1 = 3.
Subtract 1 from each side
x = 2.
x + 1 = -3
Subtract 1 from each side
x = -4
The two solutions are x = 2 and x = -4