Math Olympiad | A Nice Rational Equation | 80% Failed to solve!

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[uttiyamajumdar]

⇒1/5 (3x-5)+1/7 (5x-1)+(x-4)=2(x-1)
⇒3/5 x+5/7 x+x-5/5-1/7-4=2x-2
⇒3/5 x+5/7 x+x-2x=5/5+1/7+4-2
⇒(3/5+5/7-1)x=3+1/7
⇒((21+25)/35-1)x=22/7
⇒10/35 x=22/7
⇒2x=22⇒x=11

[АндрейПергаев-зн]

Не понимаю зачем на 4:30 70 переносить влево, чтобы потом опять перенести вправо