Solve the following equation for x-5x - 4-6 - 2 - 3x-2

The given equation is nbsp;5x 4/6 nbsp;= 2 + nbsp;3x/2 By taking the LCM on RHS, we get ⇒5x 4/6=4+3x/2 On cross multiplying, ⇒ 2(5x 4)=6(4+3x) ⇒ 10 ...

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Byju's Answer

Standard VIII

Mathematics

Variable on Both Sides

Solve the fol...

Question

$Solve the following equation for x .$
$\frac{5 x - 4}{6} = 2 + \frac{3 x}{2}$

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Solution

The correct option is D
- 4

$The given equation is \frac{5 x - 4}{6} = 2 + \frac{3 x}{2}$

$By taking the LCM on RHS, we get$
$\Rightarrow \frac{5 x - 4}{6} = \frac{4 + 3 x}{2}$

$On cross multiplying, \Rightarrow 2 (5 x - 4) = 6 (4 + 3 x)$
$\Rightarrow 10 x - 8 = 24 + 18 x$
$\Rightarrow 10 x - 18 x = 24 + 8$
$\Rightarrow - 8 x = 32$
$\Rightarrow x = - \frac{32}{8}$
$\Rightarrow x = - 4$

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Similar questions

Solve:
$\frac{5 x - 4}{6} = 2 + \frac{3 x}{2}$

Q. If

y = f (\frac{3 x + 4}{5 x + 6})

and

f^{'} (x) = tan x^{2}

then

\frac{d y}{d x} = f^{'} (\frac{3 x + 4}{5 x + 6}) \times \frac{3 (5 x + 6) - 5 (3 x + 4)}{(5 x + 6)^{2}}

. How?

Q. What must be subtracted from

x^{4} + 4 x^{2} - 3 x + 7

to get

3 x^{3} - x^{2} + 2 x + 1

Answer:

x^{4} - 3 x^{3} + 5 x^{2} - 5 x + 6

Q. Find

x

, if

3 (2 - x) = 4 (5 x + 6) + 9 (3 x - 4) + 6

Solve :

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

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Solve the following equation for x. 5x−46=2+3x2

The correct option is D - 4 The given equation is 5x−46=2+3x2 By taking the LCM on RHS, we get ⇒5x−46=4+3x2 On cross multiplying, ⇒2(5x−4)=6(4+3x) ⇒10x−8=24+18x ⇒10x−18x=24+8 ⇒−8x=32 ⇒x=−328 ⇒x=−4

$Solve the following equation for x .$
$\frac{5 x - 4}{6} = 2 + \frac{3 x}{2}$