Solve the following question by transposition method-0ex0ex2x-5-3x-2-8-7x-4

We have ,0ex0ex 2(x 5)+3(x 2)=8+7(x 4)0ex0ex⇒ 2x 2× 5 + 3x 3× 2=8+7x 7× 40ex0ex⇒ 2x 10+3x 6=8+7x 280ex0ex⇒ 5x 16=7x 200ex0ex⇒ 5x 7x= 20+160ex0ex⇒ 2x= 40ex0 ...

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Byju's Answer

Standard XII

Chemistry

Liquids in Liquids

Solve the fol...

Question

$S o l v e t h e f o l l o w i n g q u e s t i o n b y t r a n s p o s i t i o n m e t h o d : 2 (x - 5) + 3 (x - 2) = 8 + 7 (x - 4)$

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Solution

$W e h a v e, 2 (x - 5) + 3 (x - 2) = 8 + 7 (x - 4) \Rightarrow 2 x - 2 \times 5 + 3 x - 3 \times 2 = 8 + 7 x - 7 \times 4 \Rightarrow 2 x - 10 + 3 x - 6 = 8 + 7 x - 28 \Rightarrow 5 x - 16 = 7 x - 20 \Rightarrow 5 x - 7 x = - 20 + 16 \Rightarrow - 2 x = - 4 \Rightarrow x = \frac{- 4}{- 2} \Rightarrow x = 2 H e n c e t h e s o l u t i o n i s x = 2$

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Solvethefollowingquestionbytranspositionmethod:2(x-5)+3(x-2)=8+7(x-4)

Wehave,2(x-5)+3(x-2)=8+7(x-4)⇒2x-2×5+3x-3×2=8+7x-7×4⇒2x-10+3x-6=8+7x-28⇒5x-16=7x-20⇒5x-7x=-20+16⇒-2x=-4⇒x=-4-2⇒x=2Hencethesolutionisx=2

$S o l v e t h e f o l l o w i n g q u e s t i o n b y t r a n s p o s i t i o n m e t h o d : 2 (x - 5) + 3 (x - 2) = 8 + 7 (x - 4)$