Solve the following math using distributive property
17/3 ( x-3/2)=-5/4
To solve the equation using the distributive property, we need to distribute the fraction 17/3 to both terms in the parenthesis:
(17/3)(x) - (17/3)(3/2) = -5/4
(17x/3) - (51/6) = -5/4
Now, let's simplify the equation:
17x/3 - 17/2 = -5/4
To add or subtract fractions, we need a common denominator. In this case, the common denominator is 12:
(68x - 51)/12 = -5/4
Now, we can cross-multiply:
4(68x - 51) = -5(12)
272x - 204 = -60
Next, let's isolate the variable:
272x = -60 + 204
272x = 144
Finally, solve for x by dividing both sides of the equation by 272:
x = 144/272
Simplifying the fraction:
x = 9/17
Therefore, the solution to the equation is x = 9/17.