Answer:
[tex]\huge\boxed{A.\ \dfrac{565}{182}}[/tex]
Step-by-step explanation:
[tex]\dfrac{8}{7}-(5x-3)=\dfrac{1}{5}x-12\\\\\dfrac{8}{7}-5x+3=\dfrac{1}{5}x-12\qquad|\text{multiply both sides by 35}\\\\35\cdot\dfrac{8}{7}-35\cdot5x+35\cdot3=35\cdot\dfrac{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=\dfrac{565}{182}[/tex]
