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Solve for [tex]x[/tex]:

[tex]\frac{3}{2x+1}=\frac{2}{x}[/tex]

Find [tex]x[/tex].

Sagot :

GinnyAnswer
बिलकुल, आइए इस समीकरण को चरणबद्ध तरीके से हल करें:

[tex]$\frac{3}{2x+1} = \frac{2}{x}$[/tex]

1. सबसे पहले इस समांतर अनुपात को क्रॉस मल्टिप्लाई करें जिससे कि अंश और हर को हटाया जा सके:
[tex]\[ 3x = 2(2x + 1) \][/tex]

2. इस समीकरण को सुलझाएं:
[tex]\[ 3x = 4x + 2 \][/tex]

3. अब सभी [tex]$x$[/tex] वाली संख्याएं एक तरफ लाएं और स्थिरांक दूसरे तरफ:
[tex]\[ 3x - 4x = 2 \][/tex]

4. [tex]$x$[/tex] वाले भाग को सरल करें:
[tex]\[ -x = 2 \][/tex]

5. अंततः [tex]$x$[/tex] को हल करें:
[tex]\[ x = -2 \][/tex]

इस प्रकार, समीकरण का हल है:
[tex]\[ x = -2 \][/tex]
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