Table[
      Plot[Sin[x - t], {x, 0, 2  Pi}, 
        PlotStyle -> {RGBColor[1, 0.7, 0], Thickness[0.02]}], {t, 0, 10, 
        0.1}]
Table[
      Plot[Sin[x + t], {x, 0, 2  Pi}, 
        PlotStyle -> {RGBColor[1, 0.7, 0], Thickness[0.02]}], {t, 0, 10, 
        0.1}]