Whakaoti i te 4x+2(7/6)=-5

$$4 x + 2 ( \frac { 7 } { 6 } ) = - 5$$

Whakaoti mō x

$$x = -\frac{11}{6} = -1\frac{5}{6} \approx -1.833333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tuhia te 2\times \frac{7}{6} hei hautanga kotahi.

$$4x+\frac{2\times 7}{6}=-5$$

Whakareatia te 2 ki te 7, ka 14.

$$4x+\frac{14}{6}=-5$$

Whakahekea te hautanga \frac{14}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$4x+\frac{7}{3}=-5$$

Tangohia te \frac{7}{3} mai i ngā taha e rua.

$$4x=-5-\frac{7}{3}$$

Me tahuri te -5 ki te hautau -\frac{15}{3}.

$$4x=-\frac{15}{3}-\frac{7}{3}$$

Tā te mea he rite te tauraro o -\frac{15}{3} me \frac{7}{3}, me tango rāua mā te tango i ō raua taurunga.

$$4x=\frac{-15-7}{3}$$

Tangohia te 7 i te -15, ka -22.

$$4x=-\frac{22}{3}$$

Whakawehea ngā taha e rua ki te 4.

$$x=\frac{-\frac{22}{3}}{4}$$

Tuhia te \frac{-\frac{22}{3}}{4} hei hautanga kotahi.

$$x=\frac{-22}{3\times 4}$$

Whakareatia te 3 ki te 4, ka 12.

$$x=\frac{-22}{12}$$

Whakahekea te hautanga \frac{-22}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=-\frac{11}{6}$$