Whakaoti i te 2-x-102/90=x

$$2 - x - \frac { 102 } { 90 } = x$$

Whakaoti mō x

$$x=\frac{13}{30}\approx 0.433333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{102}{90} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$2-x-\frac{17}{15}=x$$

Me tahuri te 2 ki te hautau \frac{30}{15}.

$$\frac{30}{15}-x-\frac{17}{15}=x$$

Tā te mea he rite te tauraro o \frac{30}{15} me \frac{17}{15}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{30-17}{15}-x=x$$

Tangohia te 17 i te 30, ka 13.

$$\frac{13}{15}-x=x$$

Tangohia te x mai i ngā taha e rua.

$$\frac{13}{15}-x-x=0$$

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

$$\frac{13}{15}-2x=0$$

Tangohia te \frac{13}{15} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-2x=-\frac{13}{15}$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{-\frac{13}{15}}{-2}$$

Tuhia te \frac{-\frac{13}{15}}{-2} hei hautanga kotahi.

$$x=\frac{-13}{15\left(-2\right)}$$

Whakareatia te 15 ki te -2, ka -30.

$$x=\frac{-13}{-30}$$

Ka taea te hautanga \frac{-13}{-30} te whakamāmā ki te \frac{13}{30} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{13}{30}$$