Question

17/3 (x - 3/2) = - 5/4
can you solve for x?

Answer 1

`\boxed{x =(87)/(68)}`

Explanation:

`(17)/(3) \left(x-(3)/(2) \right) = -(5)/(4)`

Using FOIL in LHS

`(17)/(3)x - (17)/(3) \cdot (3)/(2) = -(5)/(4)`

`(17)/(3)x - (51)/(6) = -(5)/(4)`

`(17)/(3)x = -(5)/(4)+ (51)/(6)`

`(17)/(3)x = -(5(3))/(4(3))+ (51(2))/(6(2))`

`(17)/(3)x = -(15)/(12)+ (102)/(12)`

Now the denominator of the fractions in the RHS are the same

`(17)/(3)x = (87)/(12)`

`x = (87)/(12) \cdot (3)/(17)`

`x =(261)/(204) = (87)/(68)`

`\boxed{x =(87)/(68)}`