Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar, then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
12(3x - 2) = 32(x + 1) ← distribute parenthesis on both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14