Whakaoti i te -2x+5/2=-5/2x-7/3

$$- 2 x + \frac { 5 } { 2 } = - \frac { 5 } { 2 } x - \frac { 7 } { 3 }$$

Whakaoti mō x

$$x = -\frac{29}{3} = -9\frac{2}{3} \approx -9.666666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me tāpiri te \frac{5}{2}x ki ngā taha e rua.

$$-2x+\frac{5}{2}+\frac{5}{2}x=-\frac{7}{3}$$

Pahekotia te -2x me \frac{5}{2}x, ka \frac{1}{2}x.

$$\frac{1}{2}x+\frac{5}{2}=-\frac{7}{3}$$

Tangohia te \frac{5}{2} mai i ngā taha e rua.

$$\frac{1}{2}x=-\frac{7}{3}-\frac{5}{2}$$

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri -\frac{7}{3} me \frac{5}{2} ki te hautau me te tautūnga 6.

$$\frac{1}{2}x=-\frac{14}{6}-\frac{15}{6}$$

Tā te mea he rite te tauraro o -\frac{14}{6} me \frac{15}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1}{2}x=\frac{-14-15}{6}$$

Tangohia te 15 i te -14, ka -29.

$$\frac{1}{2}x=-\frac{29}{6}$$

Me whakarea ngā taha e rua ki te 2, te tau utu o \frac{1}{2}.

$$x=-\frac{29}{6}\times 2$$

Tuhia te -\frac{29}{6}\times 2 hei hautanga kotahi.

$$x=\frac{-29\times 2}{6}$$

Whakareatia te -29 ki te 2, ka -58.

$$x=\frac{-58}{6}$$

Whakahekea te hautanga \frac{-58}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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