If 2x/3 - [5(4x/5 - 4/3)]/2 = 1/3, then what is the value of x?
9/4
Step 1: Simplify inside the brackets:
(4x/5 - 4/3) = (12x - 20)/15
Multiply by 5: (60x - 100)/15
Divide by 2: (60x - 100)/30
Step 2: Plug into the equation:
(2x/3) - (60x - 100)/30 = 1/3
Convert to common denominator:
(20x - (60x - 100)) / 30 = 1/3
(-40x + 100)/30 = 1/3
Step 3: Cross multiply:
3(-40x + 100) = 30
-120x + 300 = 30
-120x = -270
x = 9/4
Answer:
x = 9/4
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