[tex]\begin{gathered} \frac{4}{5}x-\frac{1}{10}=\frac{3}{10} \\ Take\text{ }\frac{1}{10}\text{ to the other side of the equation so that only }\frac{4}{5}x\text{ is left on } \\ the\text{ left hand side} \\ \\ \frac{4}{5}x=\text{ }\frac{3}{10}+\frac{1}{10} \\ \frac{4}{5}x=\frac{3+1}{10} \\ \frac{4}{5}x=\frac{4}{10} \\ C\text{ross multiply} \\ 4x(10)=4(5) \\ 40x=20 \\ \text{divide both sides by 40} \\ \frac{40x}{40}=\frac{20}{40} \\ x=\frac{1}{2} \end{gathered}[/tex]
