Distribute the five to [3q-10]
Combine like terms [15q] and [-5q]
Add 50 on each side
Divide by 10 on each side
Simplify
Answer:
7/11
Step-by-step explanation:
Let d represent the original denominator. Then the original numerator is ...
2d-15
The new numerator is ...
(2d-15) +5
and the new denominator is ...
d+7
The ratio of these is 2/3, so we have ...

The original fraction is 7/11.
The answer should be 6 meters.