Solve - 5x-4-6-4x-1-3x-10-2

5x 4/6=4x+1 3x+10/2 Multiplying by 6, the L.C.M. of 6 and 2 5x 4/6×6=(4x+1)×6 3x+10/2×6 ⇒ 5x 4=24x+6 3(3x+10) ⇒ 5x 4=24x+6 9x 30 ⇒ 5x 24x+9x=6 30+4 ⇒ 14x 24x=10 ...

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Byju's Answer

Standard VIII

Mathematics

Solving Equations with Variables on Both Sides

Solve : 5x-4/...

Question

Solve :

$\frac{5 x - 4}{6} = 4 x + 1 - \frac{3 x + 10}{2}$

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Solution

$\frac{5 x - 4}{6} = 4 x + 1 - \frac{3 x + 10}{2}$

Multiplying by 6, the L.C.M. of 6 and 2

$\frac{5 x - 4}{6} \times 6 = (4 x + 1) \times 6 - \frac{3 x + 10}{2} \times 6 \Rightarrow 5 x - 4 = 24 x + 6 - 3 (3 x + 10) \Rightarrow 5 x - 4 = 24 x + 6 - 9 x - 30 \Rightarrow 5 x - 24 x + 9 x = 6 - 30 + 4 \Rightarrow 14 x - 24 x = 10 - 30 \Rightarrow - 10 x = - 20 \Rightarrow x = \frac{- 20}{- 10} = 2 Hence x = 2 A n s .$

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Q. Solve:-

\frac{5 x - 4}{6} = 4 x + 1 - \frac{3 x + 10}{2}

Q. Find

x

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\frac{5 x - 4}{6} = 4 x + 1 - \frac{3 x + 10}{2}

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Solve : 5x−46=4x+1−3x+102

5x−46=4x+1−3x+102 Multiplying by 6, the L.C.M. of 6 and 2 5x−46×6=(4x+1)×6−3x+102×6⇒ 5x−4=24x+6−3(3x+10)⇒ 5x−4=24x+6−9x−30⇒ 5x−24x+9x=6−30+4⇒ 14x−24x=10−30⇒ −10x=−20⇒ x=−20−10=2Hence x = 2 Ans.

Solve :

$\frac{5 x - 4}{6} = 4 x + 1 - \frac{3 x + 10}{2}$