Question

Solve for x 7/6 - (5x-3) = 1/5x - 12

Answer 1

`(7)/(6)-(5x-3)=(1)/(5)x-12\\\\(7)/(6)-5x+3=(1)/(5)x-12\qquad|\text{multiply both sides by LCM(6, 5)=30}\\\\30\cdot(7)/(6)-30\cdot5x+30\cdot3=30\cdot(1)/(5)x-30\cdot12\\\\5\cdot7-150x+90=6\cdot1x-360\\\\35-150x+90=6x-360\\\\-150x+(35+90)=6x-360\qquad|\text{subtract 6x from both sides}\\\\-156x+125=-360\qquad|\text{subtract 125 from both sides}\\\\-156x=-485\qquad|\text{divide both sides by (-156)}\\\\x=(485)/(156)`