Whakaoti i te x-2/3=x

$$\frac{ x-2 }{ 3 } =x$$

Whakaoti mō x

$$x=-1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ia wā o x-2 ki te 3, kia riro ko \frac{1}{3}x-\frac{2}{3}.

$$\frac{1}{3}x-\frac{2}{3}=x$$

Tangohia te x mai i ngā taha e rua.

$$\frac{1}{3}x-\frac{2}{3}-x=0$$

Pahekotia te \frac{1}{3}x me -x, ka -\frac{2}{3}x.

$$-\frac{2}{3}x-\frac{2}{3}=0$$

Me tāpiri te \frac{2}{3} ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$-\frac{2}{3}x=\frac{2}{3}$$

Me whakarea ngā taha e rua ki te -\frac{3}{2}, te tau utu o -\frac{2}{3}.

$$x=\frac{2}{3}\left(-\frac{3}{2}\right)$$

Me whakarea te \frac{2}{3} ki te -\frac{3}{2} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{2\left(-3\right)}{3\times 2}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$x=\frac{-3}{3}$$

Whakawehea te -3 ki te 3, kia riro ko -1.

$$x=-1$$