Question

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

Equations and inequalities
$$\displaystyle{\left(\frac{{x}}{{2}}\right)}+{\left(\frac{{5}}{{6}}\right)}=\frac{{x}}{{3}}$$

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