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Question
Solve the following equations for the unknown: `2(1)/(5) - (x - 2)/(3) = (x - 1)/(3)`
Solution
`2(1)/(5) - (x - 2)/(3) = (x - 1)/(3)`
⇒ `(11)/(5) - (x - 2)/(3) = (x - 1)/(3)`
⇒ `(11)/(5) = (x - 1)/(3) + (x - 2)/(3)`
⇒ `(11)/(5) = (x - 1 + x - 2)/(3)`
⇒ `(11)/(5) = (2x - 3)/(3)`
⇒ 10x - 15 = 33
⇒ 10x = 48
⇒ x = 4.8.
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