Решить уравнение [latex] \frac{x}{5} [/latex] - 3 = [latex] \frac{x}{2} [/latex]

[latex] \frac{x}{5}-3= \frac{x}{2} [/latex] [latex] \frac{x}{5}- \frac{x}{2} =3[/latex] [latex] \frac{1}{5}*x- \frac{1}{2}*x =3[/latex] [latex] (\frac{1}{5}- \frac{1}{2})*x =3[/latex] [latex] (\frac{2*1-5*1}{5*2})*x =3[/latex] [latex] \frac{-3}{10}*x =3[/latex] [latex] \frac{-3*1}{10}*x =3*1[/latex] [latex] -3*\frac{1}{10}*x =3|:3[/latex] [latex] -\frac{1}{10}*x =1|*10[/latex] [latex]-x=10[/latex] [latex]x=-10[/latex]