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Question
Solve the following:
`3x - (x - 2)/3 = 4 - (x - 1)/4`
Solution
Given, `3x - (x - 2)/3 = 4 - (x - 1)/4`
⇒ `(9x - (x - 2))/3 = (16 - (x - 1))/4`
⇒ 4(9x – x + 2) = 3(16 – x + 1) ...[By cross-multiplication]
⇒ 4(8x + 2) = 3(– x + 17)
⇒ 32x + 8 = – 3x + 51
⇒ 32x + 3x = 51 – 8 ...[Transposing – 3x to LHS and 8 to RHS]
⇒ 35x = 43
⇒ `(35x)/35 = 43/35` ...[Dividing both sides by 35]
∴ `x = 43/35`
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