Solve. x-5/3-2-x/5 = 17/15
a. Conditional
b. Identity
c. No Solution

Question

anonymous · Answer

$$\frac{ x-5 }{ 3 }-\frac{ 2-x }{ 5 }=\frac{ 17 }{ 15 }$$

anonymous · Answer

it is not an identity for sure, because the expression on the left is not always equal to $\frac{17}{5}$
it does have a solution 
do you need it?

anonymous · Answer

yes. I dont know how to start solving it

anonymous · Answer

clear the annoying fractions by multiplying both sides by the least common multiple of the denominators 
the least common multiple of 3,5,15 is 15 so start with 
$$15\left(\frac{ x-5 }{ 3 }-\frac{ 2-x }{ 5 }\right)=\frac{ 17 }{ 15 }\times 15$$

anonymous · Answer

use parentheses carefully 
$$5(x-5)-3(2-x)=17$$ then solve as usual

anonymous · Answer

okay thanks :)