Question

6(x + 3) = 24 x = x = ?????????

Answer 1

$\bold{Given :} \\ \\ \implies \: 6(x + 3) = 24 \\ \\ \bold{To \: find :} \\ \\ \implies \: Value \: of \: x \\ \\ \bold{Solution :} \\ \\ \implies \: 6(x + 3) = 24 \\ \\ \: Multiplying \: 6 \: with \: x \: and \: 3 : \\ \\ \implies \: 6x + 18 = 24 \\ \\ Now \: take \: 18 another \: side \: by \: using \: \\ transposition \: method \: and \: positive \: \\ sign \: will \: change \: into \: negative : \\ \\ \implies \: 6x = 24 - 18 \\ \\ Now , \: subtract \: 18 \: from \: 24 : \\ \\ \implies \: 6x = 6 \\ \\ As \: 6 \: is \: multiplying \: with \: x \: in \: left \: side \: So , \: \\ take \: it \: to \: right \: side \: by \: transposition \: method \\ \: and \: it's \: multiplication \: will \: change \: into \: division : \\ \\ \implies \: x = \cancel\frac{6}{6} \\ \\ Now \: , 6 \: divide \: by \: 6 \: we \: get : \\ \\ \implies \: \bold{ x = 1} \\ \\ \bold{Verification :} \\ \\ \implies \: 6(x + 3) = 24 \\ \\ Putting \: 1 \: as \: value \: of \: x : \\ \\ \implies6( \bold{1} + 3) = 24 \\ \\ \implies \: 6(4) = 24 \\ \\ \implies \: 24 = 24 \\ \\ ==>L.H.S = R.H.S \\ \\ </p><p></p><p>Therefore \: value \: of \: \bold{x \: is \: 1 } \: and \: our \: answer \: \\ is \: valid.</p><p></p><p>$