Whakaoti i te 2(3x-2)-2/4=5/3

$$2 ( 3 x - 2 ) - \frac { 2 } { 4 } = \frac { 5 } { 3 }$$

Whakaoti mō x

$$x = \frac{37}{36} = 1\frac{1}{36} \approx 1.027777778$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 3x-2.

$$6x-4-\frac{2}{4}=\frac{5}{3}$$

Whakahekea te hautanga \frac{2}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$6x-4-\frac{1}{2}=\frac{5}{3}$$

Me tahuri te -4 ki te hautau -\frac{8}{2}.

$$6x-\frac{8}{2}-\frac{1}{2}=\frac{5}{3}$$

Tā te mea he rite te tauraro o -\frac{8}{2} me \frac{1}{2}, me tango rāua mā te tango i ō raua taurunga.

$$6x+\frac{-8-1}{2}=\frac{5}{3}$$

Tangohia te 1 i te -8, ka -9.

$$6x-\frac{9}{2}=\frac{5}{3}$$

Me tāpiri te \frac{9}{2} ki ngā taha e rua.

$$6x=\frac{5}{3}+\frac{9}{2}$$

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{5}{3} me \frac{9}{2} ki te hautau me te tautūnga 6.

$$6x=\frac{10}{6}+\frac{27}{6}$$

Tā te mea he rite te tauraro o \frac{10}{6} me \frac{27}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$6x=\frac{10+27}{6}$$

Tāpirihia te 10 ki te 27, ka 37.

$$6x=\frac{37}{6}$$

Whakawehea ngā taha e rua ki te 6.

$$x=\frac{\frac{37}{6}}{6}$$

Tuhia te \frac{\frac{37}{6}}{6} hei hautanga kotahi.

$$x=\frac{37}{6\times 6}$$

Whakareatia te 6 ki te 6, ka 36.

$$x=\frac{37}{36}$$