Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{BC}{DC}[/tex] = [tex]\frac{AC}{EC}[/tex] , substitute values
[tex]\frac{3x-5}{32}[/tex] = [tex]\frac{5x-5}{56}[/tex] ( cross- multiply )
56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides
168x - 280 = 160x - 160 ( subtract 160x from both sides )
8x - 280 = - 160 ( add 280 to both sides )
8x = 120 ( divide both sides by 8 )
x = 15
