Whakaoti i te 6(8-3x)=-10

$$6(8-3x)=-10$$

Whakaoti mō x

$$x = \frac{29}{9} = 3\frac{2}{9} \approx 3.222222222$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ngā taha e rua ki te 6.

$$8-3x=\frac{-10}{6}$$

Whakahekea te hautanga \frac{-10}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$8-3x=-\frac{5}{3}$$

Tangohia te 8 mai i ngā taha e rua.

$$-3x=-\frac{5}{3}-8$$

Me tahuri te 8 ki te hautau \frac{24}{3}.

$$-3x=-\frac{5}{3}-\frac{24}{3}$$

Tā te mea he rite te tauraro o -\frac{5}{3} me \frac{24}{3}, me tango rāua mā te tango i ō raua taurunga.

$$-3x=\frac{-5-24}{3}$$

Tangohia te 24 i te -5, ka -29.

$$-3x=-\frac{29}{3}$$

Whakawehea ngā taha e rua ki te -3.

$$x=\frac{-\frac{29}{3}}{-3}$$

Tuhia te \frac{-\frac{29}{3}}{-3} hei hautanga kotahi.

$$x=\frac{-29}{3\left(-3\right)}$$

Whakareatia te 3 ki te -3, ka -9.

$$x=\frac{-29}{-9}$$

Ka taea te hautanga \frac{-29}{-9} te whakamāmā ki te \frac{29}{9} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{29}{9}$$