Question

$2(x - \frac{3}{2} ) = 11$


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Answer 1

Answer:

23 is the correct answer

Answer 2

Given

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• $\sf{2 \bigg\lgroup x - \dfrac{3}{2} \bigg\rgroup = 11}$

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Solution

• Solving for the value of x.

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$\tt:\implies\: \: \: \: \: \: \: \: {2 \bigg\lgroup \dfrac{2x - 3}{2} \bigg\rgroup = 11}$

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$\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{2(2x - 3)}{2} = 11}$

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$\tt:\implies\: \: \: \: \: \: \: \: {4x - 6 = 22}$

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$\tt:\implies\: \: \: \: \: \: \: \: {4x = 22 + 6}$

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$\tt:\implies\: \: \: \: \: \: \: \: {4x = 28}$

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$\tt:\implies\: \: \: \: \: \: \: \: {x = \dfrac{28}{4}}$

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$\mathfrak:\implies\: \: \: \: \: \: \: \: {\underline{\boxed{\purple{x = 7}}}}$

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Hence,

• The value of x is 7.

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Verification

• Putting x = 7

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$\tt\longmapsto{2 \bigg\lgroup 7 - \dfrac{3}{2} \bigg\rgroup = 11}$

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$\tt\longmapsto{2 \bigg\lgroup \dfrac{14 - 3}{2} \bigg\rgroup = 11}$

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$\tt\longmapsto{2 \bigg\lgroup \dfrac{11}{2} \bigg\rgroup = 11}$

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$\tt\longmapsto{2 \times 11 = 11 \times 2}$

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$\tt\longmapsto{22 = 22}$

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$\tt\longmapsto{L.H.S = R.H.S}$

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• Hence proved !