Whakaoti i te 82=14+25*12+38(x-15)

$$82=14+25 \times 12+38(x-15)$$

Whakaoti mō x

$$x = \frac{169}{19} = 8\frac{17}{19} \approx 8.894736842$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te 25 ki te 12, ka 300.

$$82=14+300+38\left(x-15\right)$$

Tāpirihia te 14 ki te 300, ka 314.

$$82=314+38\left(x-15\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 38 ki te x-15.

$$82=314+38x-570$$

Tangohia te 570 i te 314, ka -256.

$$82=-256+38x$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$-256+38x=82$$

Me tāpiri te 256 ki ngā taha e rua.

$$38x=82+256$$

Tāpirihia te 82 ki te 256, ka 338.

$$38x=338$$

Whakawehea ngā taha e rua ki te 38.

$$x=\frac{338}{38}$$

Whakahekea te hautanga \frac{338}{38} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{169}{19}$$