Question

(x/2)+(5/6)=x/3

Equations and inequalities
ANSWERED
asked 2021-06-01
\(\displaystyle{\left(\frac{{x}}{{2}}\right)}+{\left(\frac{{5}}{{6}}\right)}=\frac{{x}}{{3}}\)

Answers (1)

2021-06-02

\(\displaystyle{\left(\frac{{X}}{{2}}\right)}+{\left(\frac{{5}}{{6}}\right)}={\left(\frac{{X}}{{3}}\right)}\) ( multiply both sides by 6 )
\(\displaystyle{6}{\left(\frac{{X}}{{2}}\right)}+{\left(\frac{{5}}{{6}}\right)}{6}={6}{\left(\frac{{X}}{{3}}\right)}\)
\(3 X + 5 = 2 X\) ( add - 2 X to both sides )
\(3 X - 2 X + 5 = 2 X - 2 X\)
\(X + 5 = 0\) ( add -5 to both sides )
\(X + 5 - 5 = 0 - 5\)
\(X = - 5\)

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