Question

If
$\frac{7}{2}x - (x + 4) = 6$
Then

$x =$
​

Answer 1

Given Question:-

Solve for x :-

$\bf \:  \dfrac{7}{2} x - (x + 4) = 6$

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$\large\underline\purple{\bold{Solution :- }}$

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$\bf \:  \longrightarrow \: \dfrac{7}{2} x - (x + 4) = 6$

$\tt \:  \longrightarrow \: \dfrac{7}{2} x - x - 4 = 6$

$\tt \:  \longrightarrow \: \dfrac{7}{2} x - x = 6 + 4$

$\tt \:  \longrightarrow \: \dfrac{7x - 2x}{2} = 10$

$\tt \:  \longrightarrow \: \dfrac{5x}{2} = 10$

$\tt \:  \longrightarrow \: x = 10 \times \dfrac{2}{5}$

$\tt\implies \: \boxed {\purple{\bf \:  x \: = \: 4}}$

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$\begin{gathered}\red\bigstar\:\:{\underline{\orange{\boxed{\bf{\green{Verification}}}}}} \\ \end{gathered}$

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$\begin{gathered}\bf\pink{ \underline{Consider \: LHS }} \\ \end{gathered}$

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$\tt \:  \longrightarrow \: \dfrac{7}{2} x - (x - 4)$

☆ On substituting x = 4, we get

$\tt \:  \longrightarrow \: \dfrac{7}{2} \times 4 - (4 + 4)$

$\tt \:  \longrightarrow \: 7 \times 2 - 8$

$\tt \:  \longrightarrow \: 14 - 8$

$\tt \:  \longrightarrow \: 6$

$\tt\implies \:\begin{gathered}\bf\purple{ LHS = RHS} \\ \end{gathered}$

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$\: \: \: \: \: \: \boxed{ \red{\tt \:  Hence,  \: Verified }}$

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Answer 2

Answer:

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