Solve the following- x-1-2-x-1-3- 5-xThen x-

The correct option is D 5 Given, x 12 x+13=5 x 3(x 1) 2(x+1)6=5 x On cross multiplying, we get 3x 3 2x 2=6(5 x) ⇒ x 5=6(5 x) ⇒ x 5= ...

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Standard VII

Mathematics

Equation

Solve the fol...

Question

Solve the following:
$\frac{x - 1}{2} - \frac{x + 1}{3} = 5 - x$
Then $x =$

2

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Solution

The correct option is D $5$
Given, $\frac{x - 1}{2} - \frac{x + 1}{3} = 5 - x$
$\frac{3 (x - 1) - 2 (x + 1)}{6} = 5 - x$
On cross multiplying, we get
$3 x - 3 - 2 x - 2 = 6 (5 - x)$
$\Rightarrow x - 5 = 6 (5 - x)$
$\Rightarrow x - 5 = 30 - 6 x$
$\Rightarrow 7 x = 35$
$\Rightarrow x = 5$

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Solve the following:x−12−x+13=5−xThen x=

The correct option is D 5Given, x−12−x+13=5−x3(x−1)−2(x+1)6=5−xOn cross multiplying, we get3x−3−2x−2=6(5−x)⇒x−5=6(5−x)⇒x−5=30−6x⇒7x=35⇒x=5

Solve the following:
$\frac{x - 1}{2} - \frac{x + 1}{3} = 5 - x$
Then $x =$

The correct option is D $5$
Given, $\frac{x - 1}{2} - \frac{x + 1}{3} = 5 - x$
$\frac{3 (x - 1) - 2 (x + 1)}{6} = 5 - x$
On cross multiplying, we get
$3 x - 3 - 2 x - 2 = 6 (5 - x)$
$\Rightarrow x - 5 = 6 (5 - x)$
$\Rightarrow x - 5 = 30 - 6 x$
$\Rightarrow 7 x = 35$
$\Rightarrow x = 5$