Whakaoti i te 12*900(60-x)=(80+5*4200)x-15

$$12 \times 900(60-x)=(80+5 \times 4200)x-15$$

Whakaoti mō x

$$x = \frac{129603}{6376} = 20\frac{2083}{6376} \approx 20.326693852$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 12 ki te 900, ka 10800.

$$10800\left(60-x\right)=\left(80+5\times 4200\right)x-15$$

Whakamahia te āhuatanga tohatoha hei whakarea te 10800 ki te 60-x.

$$648000-10800x=\left(80+5\times 4200\right)x-15$$

Whakareatia te 5 ki te 4200, ka 21000.

$$648000-10800x=\left(80+21000\right)x-15$$

Tāpirihia te 80 ki te 21000, ka 21080.

$$648000-10800x=21080x-15$$

Tangohia te 21080x mai i ngā taha e rua.

$$648000-10800x-21080x=-15$$

Pahekotia te -10800x me -21080x, ka -31880x.

$$648000-31880x=-15$$

Tangohia te 648000 mai i ngā taha e rua.

$$-31880x=-15-648000$$

Tangohia te 648000 i te -15, ka -648015.

$$-31880x=-648015$$

Whakawehea ngā taha e rua ki te -31880.

$$x=\frac{-648015}{-31880}$$

Whakahekea te hautanga \frac{-648015}{-31880} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -5.

$$x=\frac{129603}{6376}$$