Whakaoti i te 45(8-x)+36=102-25(3x+24)

$$45 ( 8 - x ) + 36 = 102 - 25 ( 3 x + 24 )$$

Whakaoti mō x

$$x = -\frac{149}{5} = -29\frac{4}{5} = -29.8$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 45 ki te 8-x.

$$360-45x+36=102-25\left(3x+24\right)$$

Tāpirihia te 360 ki te 36, ka 396.

$$396-45x=102-25\left(3x+24\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -25 ki te 3x+24.

$$396-45x=102-75x-600$$

Tangohia te 600 i te 102, ka -498.

$$396-45x=-498-75x$$

Me tāpiri te 75x ki ngā taha e rua.

$$396-45x+75x=-498$$

Pahekotia te -45x me 75x, ka 30x.

$$396+30x=-498$$

Tangohia te 396 mai i ngā taha e rua.

$$30x=-498-396$$

Tangohia te 396 i te -498, ka -894.

$$30x=-894$$

Whakawehea ngā taha e rua ki te 30.

$$x=\frac{-894}{30}$$

Whakahekea te hautanga \frac{-894}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$x=-\frac{149}{5}$$