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Simplify: (5 ("X" - 4))/3 + (2(5x - 3))/5 + (6(X - 4))/7 - Mathematics

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Question

Simplify: `(5 ("x" - 4))/3 + (2(5x - 3))/5 + (6(x - 4))/7`

Sum

Solution

`(5 ("x" - 4))/3 + (2(5x - 3))/5 + (6(x - 4))/7`


`=(175("x - 4") + 42("x" - 3) +90("x" - 4))/105`  ...(LCM of 3,5,7 = 105)


`= (175"x" - 700 + 210"x" - 126 + 90"x" - 360)/105`


`= (175"x" + 210"x" + 90"x" - 700 - 126 - 360)/105`


`= (475"x" - 1186)/105`

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Performs Operations (Addition and Subtraction) on Algebraic Expressions with Integral Coefficients Only.
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Chapter 11: Fundamental Concepts (Including Fundamental Operations) - Exercise 11 (E)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 11 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (E) | Q 21
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