(7k)/(8)-(3)/(4)-(5k)/(16)=(3)/(8)

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Solution for (7k)/(8)-(3)/(4)-(5k)/(16)=(3)/(8) equation:


(7k)/(8)-(3)/(4)-(5k)/(16)=(3)/(8)

We simplify the equation to the form, which is simple to understand 
(7k)/(8)-(3)/(4)-(5k)/(16)=(3)/(8)

Reorder the terms in parentheses
dividing of parentheses
( + 0.875k)-(3)/(4)-(5k)/(16)=(3)/(8)



Remove unnecessary parentheses
 + 0.875k-(3)/(4)-(5k)/(16)=(3)/(8)

Reorder the terms in parentheses
dividing of parentheses
 + 0.875k-( + 0.75)-(5k)/(16)=(3)/(8)



Remove unnecessary parentheses
 + 0.875k-0.75-(5k)/(16)=(3)/(8)

Reorder the terms in parentheses
dividing of parentheses
 + 0.875k-0.75-( + 0.3125k)=(3)/(8)



Remove unnecessary parentheses
 + 0.875k-0.75-0.3125k=(3)/(8)

Reorder the terms in parentheses
dividing of parentheses
 + 0.875k-0.75-0.3125k=( + 0.375)



Remove unnecessary parentheses
 + 0.875k-0.75-0.3125k=0.375

We move all terms containing k to the left and all other terms to the right. 
 + 0.875k-0.3125k=0.375 + 0.75

We simplify left and right side of the equation. 
 + 0.5625k=+1.125

We divide both sides of the equation by 0.5625 to get k. 
k=2

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