Solve the following math using distributive property
17/3 ( x-3/2)=-5/4 Responses 47/68 23/40 17/40 87/68
To solve the equation using the distributive property, we will distribute the 17/3 to both terms inside the parentheses:
17/3 * x - 17/3 * 3/2 = -5/4
Simplifying the expression:
17x/3 - 51/6 = -5/4
Multiplying 17x/3 by 2/2 to get a common denominator:
(34x - 51)/6 = -5/4
To eliminate the fractions, we can multiply both sides of the equation by 24 (the least common multiple of 6 and 4):
24 * [(34x - 51)/6] = 24 * (-5/4)
(4)(34x - 51) = -30
136x - 204 = -30
Adding 204 to both sides:
136x = 174
Dividing both sides by 136:
x = 174/136
Simplifying the fraction:
x = 87/68
Therefore, the solution to the equation is x = 87/68.