Solve - 5x-1-3x-1-6x-1-30

5x 1/3(x+1)=6(x+1/30 ) 5x x+1/3=6x+1/5 Multiplying by 15, the L.C.M. of 3 and 5 15×5x x+1/3×15=6x×15+1/5×15 ⇒ 75x 5(x+1)=90x+3 ⇒ 75x 5x 5=90x+3 ⇒ 75x 5x 90x=3+ ...

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Byju's Answer

Standard VIII

Mathematics

Solving Equations with Variables on Both Sides

Solve : 5x-1/...

Question

Solve :

$5 x - \frac{1}{3} (x + 1) = 6 (x + \frac{1}{30})$

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Solution

$5 x - \frac{1}{3} (x + 1) = 6 (x + \frac{1}{30}) 5 x - \frac{x + 1}{3} = 6 x + \frac{1}{5}$

Multiplying by 15, the L.C.M. of 3 and 5

$15 \times 5 x - \frac{x + 1}{3} \times 15 = 6 x \times 15 + \frac{1}{5} \times 15 \Rightarrow 75 x - 5 (x + 1) = 90 x + 3 \Rightarrow 75 x - 5 x - 5 = 90 x + 3 \Rightarrow 75 x - 5 x - 90 x = 3 + 5 \Rightarrow 75 x - 95 x = 8 \Rightarrow - 20 x = 8 \Rightarrow x = \frac{8}{- 20} = \frac{- 2}{5} Hence x = \frac{- 2}{5} A n s .$

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Solve : 5x−13(x+1)=6(x+130)

5x−13(x+1)=6(x+130)5x−x+13=6x+15 Multiplying by 15, the L.C.M. of 3 and 5 15×5x−x+13×15=6x×15+15×15⇒ 75x−5(x+1)=90x+3⇒ 75x−5x−5=90x+3⇒ 75x−5x−90x=3+5⇒ 75x−95x=8⇒ −20x=8⇒ x=8−20=−25Hence x=−25 Ans.

Solve :

$5 x - \frac{1}{3} (x + 1) = 6 (x + \frac{1}{30})$