How do you solve $1/x = 2/x - 3$ ?

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Answer 1 · 2016-01-04T14:13:43

$x = 1/3$

firstly eliminate the fractions from the equation by multiplying through by x

$x xx 1/x = x xx 2/x - x xx3$

→ 1 = 2 - 3x

now collect like terms : 1 - 2 = - 3x

→ - 1 = - 3x

now divide both sides by - 3
→ $( -1)/-3 =( - 3)/ - 3$ x

→ $x = 1/3$

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