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Algebraic Problems - Three Ways to Solve

Posted: Thu Jun 11, 2026 3:47 am
by Jason
The first way involves dividing everything by the term connected to x
\(Way\,\,no.\,\,1\)


\(3x + 4 = 11\)

\(\dfrac{3x}{3} + \dfrac{4}{3} = \dfrac{11}{3}\)

\(x + \dfrac{4}{3} = \dfrac{11}{3} \)

\(x + \dfrac{4}{3} - \dfrac{4}{3} = \dfrac{11}{3} - \dfrac{4}{3}\)

\(x = \dfrac{7}{3}\)


\(Way\,\,no.\,\,2\)


\(3x + 4 = 11\)

\(3x + 4 - 4 = 11 - 4\)

\(3x = 7\)

\(\dfrac{3x}{3} = \dfrac{7}{3}\)

\(x = \dfrac{7}{3}\)


\(Way\,\,no.\,\,3\)


\(3x + 4 = 11\)

\(3x + 4 - 11 = 11 - 11\)

\(3x - 7 = 0\)

\(3x - 7 + 7 = 0 + 7\)

\(3x = 7\)

\(\dfrac{3x}{3} = \dfrac{7}{3}\)

\(x = \dfrac{7}{3}\)