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2 Answers

2 votes

Answer:

A

Explanation:

8 votes

Answer:


\huge\boxed{A.\ (565)/(182)}

Explanation:


(8)/(7)-(5x-3)=(1)/(5)x-12\\\\(8)/(7)-5x+3=(1)/(5)x-12\qquad|\text{multiply both sides by 35}\\\\35\cdot(8)/(7)-35\cdot5x+35\cdot3=35\cdot(1)/(5)x-35\cdot12\qquad|\text{simplify}\\\\5\cdot8-175x+105=7\cdot x-420\\\\40-175x+105=7x-420\\\\-175x+(40+105)=7x-420\\\\-175x+145=7x-420\qquad|\text{subtract 145 from both sides}\\\\-175x=7x-565\qquad|\text{subtract }7x\ \text{from both sides}\\\\-182x=-565\qquad|\text{divide both sides by (-182)}\\\\x=(565)/(182)

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