Answer:
Labelled the diagram as shown below
Given triangle ABC and triangle CDE are similar.
by definition of similar triangle:
Corresponding sides are in proportion:
Here, AC = 8 units, DC =8+6 = 14 units, and BC = 2x-2 units and CE= 3x units.
Substitute these we have;
Simplify:
By cross multiply we have;
Using distributive property:
Subtract 14x from both sides we get;
Divide by b-2 to both sides we get;
x = 7
Therefore, the value of x is, 7