Question

if x/3-2=x then find value of x.​

Answer 1

Given

• $\sf{\dfrac{x}{3} - 2 = x}$

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To find

• Value of x.

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Solution

• Solving the equation for the value of x.

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$\tt\longmapsto{\dfrac{x - 6}{3} = x}$

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$\tt\longmapsto{x - 6 = 3x}$

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$\tt\longmapsto{3x - x = -6}$

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$\tt\longmapsto{2x = -6}$

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$\tt\longmapsto{x = \dfrac{-6}{2}}$

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$\bf\longmapsto{x = -3}$

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• Value of x is -3.

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$\huge\underline{\rm{Verification}}$

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$\: \: \: \: \: \: \: \: \: \:\underline{\sf{\red{Putting\: x = -3}}}$

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$\tt\longrightarrow{\dfrac{-3}{3} - 2 = -3}$

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$\tt\longrightarrow{-1 - 2 = -3}$

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$\tt\longrightarrow{-3 = -3}$

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★ LHS = RHS

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Hence,

• The value of x is -3.

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Answer 2

Given :

• $\frac{x}{3} − 2 = x$

To find :

• Value of x

SoluTion :

$\implies \frac{x \ − \ 6 }{3} = x$

$\implies \: x \: - 6 \: = 3 \: \times x$

$\implies 3x \: - x \: = - 6$

$\implies \: 2x \: = - 6$

$\implies \: x \: = \frac{ - 6}{2}$

$\implies x \: = \cancel \frac{ - 6}{2}$

$\implies \: x \: = - 3$

$\huge\tt\colorbox{pink}{Answer \ = \ −3}$