Whakaoti i te 5000+(500-x)0.8=8.4x

$$5000+(500-x)0.8 = 8.4x$$

Whakaoti mō x

$$x = \frac{13500}{23} = 586\frac{22}{23} \approx 586.956521739$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 500-x ki te 0.8.

$$5000+400-0.8x=8.4x$$

Tāpirihia te 5000 ki te 400, ka 5400.

$$5400-0.8x=8.4x$$

Tangohia te 8.4x mai i ngā taha e rua.

$$5400-0.8x-8.4x=0$$

Pahekotia te -0.8x me -8.4x, ka -9.2x.

$$5400-9.2x=0$$

Tangohia te 5400 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-9.2x=-5400$$

Whakawehea ngā taha e rua ki te -9.2.

$$x=\frac{-5400}{-9.2}$$

Whakarohaina te \frac{-5400}{-9.2} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x=\frac{-54000}{-92}$$

Whakahekea te hautanga \frac{-54000}{-92} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -4.

$$x=\frac{13500}{23}$$