[latex]\frac{2}{5}\alpha+\frac{3}{10}\alpha-\frac{2}{15}\alpha=2[/latex]

[latex]\frac{2}{5}a+\frac{3}{10}a-\frac{2}{15}a=2[/latex] [latex]\frac{12}{30}a+\frac{9}{30}a-\frac{4}{30}a=2[/latex]  [latex]\frac{12+9-4}{30}a=2[/latex]   [latex]\frac{17}{30}a=2[/latex] [latex]a=2:\frac{17}{30}[/latex]   [latex]a=2*\frac{30}{17}[/latex] [latex]a=\frac{60}{17}[/latex]  [latex]a=3\frac{9}{17}[/latex]