Question

If 3(x−1)=2x−11,3(x−1)=2x−11,  then the value of ‘x’ is​

Answer 1

Correct Question :-

• If 3 (x - 1) = 2x - 11, find the value of 'x'.

Answer :-

$Q) \: \sf3 \: (x - 1) = 2x - 11$

Removing the brackets,

$\hookrightarrow\sf3x - 3 = 2x - 11$

Putting the constant and variable terms on different sides by the method of transposition,

$\hookrightarrow\sf3x - 2x = - 11 + 3$

On simplifying,

$\hookrightarrow\underline{ \boxed{\sf x = - 8}}$

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V E R I F I C A T I O N :-

• To check our answer, let's put -8 in the place of x and see whether LHS = RHS.

LHS

$\rightarrow\rm3 \: (x - 1)$

Substituting the value of x,

$\rightarrow\rm3 \: ( - 8 - 1)$

Removing the brackets,

$\rightarrow\rm - 24 - 3$

Subtracting -3 from -24,

$\rightarrow \rm- 27$

RHS

$\rightarrow\rm2x - 11$

Substituting the value of x,

$\rightarrow\rm2 \times - 8 - 11$

Applying the BODMAS rule and multiplying 2 with -8 first,

$\rightarrow\rm- 16 - 11$

Subtracting 11 from -16,

$\rightarrow\rm- 27$

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Since LHS = RHS,

Hence verified!