Whakaoti i te 7(2+x)=5(x-2.5)+35

$$7(2+x)=5(x-2.5)+35$$

Whakaoti mō x

$$x=4.25$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 7 ki te 2+x.

$$14+7x=5\left(x-2.5\right)+35$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te x-2.5.

$$14+7x=5x-12.5+35$$

Tāpirihia te -12.5 ki te 35, ka 22.5.

$$14+7x=5x+22.5$$

Tangohia te 5x mai i ngā taha e rua.

$$14+7x-5x=22.5$$

Pahekotia te 7x me -5x, ka 2x.

$$14+2x=22.5$$

Tangohia te 14 mai i ngā taha e rua.

$$2x=22.5-14$$

Tangohia te 14 i te 22.5, ka 8.5.

$$2x=8.5$$

Whakawehea ngā taha e rua ki te 2.

$$x=\frac{8.5}{2}$$

Whakarohaina te \frac{8.5}{2} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x=\frac{85}{20}$$

Whakahekea te hautanga \frac{85}{20} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x=\frac{17}{4}$$