Question

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

Equations and inequalities
ANSWERED
asked 2021-08-12
\(\displaystyle{\left(\frac{{x}}{{2}}\right)}+{\left(\frac{{5}}{{6}}\right)}=\frac{{x}}{{3}}\)

Expert Answers (1)

2021-08-13
\(\displaystyle{\left(\frac{{X}}{{2}}\right)}+{\left(\frac{{5}}{{6}}\right)}={\left(\frac{{X}}{{3}}\right)}\) ( 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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