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Solve the following: 5(1-x)+3(1+x)1-2x=8 - Mathematics

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प्रश्न

Solve the following:

`(5(1 - x) + 3(1 + x))/(1 - 2x) = 8`

योग

उत्तर

Given, `(5(1 - x) + 3(1 + x))/(1 - 2x) = 8`

⇒ 5(1 – x) + 3(1 + x) = 8(1 – 2x)  ...[By cross-multiplication]

⇒ 5 – 5x + 3 + 3x = 8 – 16x

⇒ 8 – 2x = 8 – 16x

⇒ 16x – 2x = 8 – 8  ...[Transposing –16x to LHS and 8 to RHS]

⇒ 14x = 0

⇒ `(14x)/14 = 0/14`  ...[Dividing both sides by 14]

∴ x = 0

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अध्याय 4: Linear Equation In One Variable - Exercise [पृष्ठ ११६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 4 Linear Equation In One Variable
Exercise | Q 53. | पृष्ठ ११६

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