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

The correct option is C 4 Given, 5x 4/6 = 2 + 3x/2 ⇒5x 4/6 = 4+3x/2 [Cross multiplication] ⇒ 2(5x 4) = 6(4+3x) ⇒10x 8 = 24 + 18x [Distributive law of ...

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Byju's Answer

Standard VII

Mathematics

Solving Equations with Variable on Both Sides

Solve:5 x-4/6...

Question

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

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Solution

The correct option is D
- 4

Given, $\frac{5 x - 4}{6} = 2 + \frac{3 x}{2}$

$\Rightarrow \frac{5 x - 4}{6} = \frac{4 + 3 x}{2}$ [Cross multiplication]

$\Rightarrow 2 (5 x - 4) = 6 (4 + 3 x)$

$\Rightarrow 10 x - 8 = 24 + 18 x$ [Distributive law of multiplication]

$\Rightarrow 18 x - 10 x = - 8 - 24$ [Grouping like terms]

$\Rightarrow 8 x = - 32$

$\Rightarrow x = - 4$

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Similar questions

Solve :

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

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

Solve the following:

\frac{4}{5} (x + \frac{5}{6}) + \frac{2}{3} (x - \frac{1}{4}) = 1 \frac{1}{9}

Q. Solve the following equation:

\frac{4}{5} (x + \frac{5}{6}) + \frac{2}{3} (x - \frac{1}{4}) = 1 \frac{1}{9}

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

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Solve: 5x−46=2+3x2

The correct option is D - 4 Given, 5x−46=2+3x2 ⇒5x−46=4+3x2 [Cross multiplication] ⇒2(5x−4)=6(4+3x) ⇒10x−8=24+18x [Distributive law of multiplication] ⇒18x−10x=−8−24 [Grouping like terms] ⇒8x=−32 ⇒x=−4

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