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

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

Whakaoti mō x

$$x=-\frac{11}{21}\approx -0.523809524$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te x mai i ngā taha e rua.

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

Pahekotia te -\frac{5}{2}x me -x, ka -\frac{7}{2}x.

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

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

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

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

$$-\frac{7}{2}x=-\frac{4}{6}+\frac{15}{6}$$

Tā te mea he rite te tauraro o -\frac{4}{6} me \frac{15}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{7}{2}x=\frac{-4+15}{6}$$

Tāpirihia te -4 ki te 15, ka 11.

$$-\frac{7}{2}x=\frac{11}{6}$$

Me whakarea ngā taha e rua ki te -\frac{2}{7}, te tau utu o -\frac{7}{2}.

$$x=\frac{11}{6}\left(-\frac{2}{7}\right)$$

Me whakarea te \frac{11}{6} ki te -\frac{2}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{11\left(-2\right)}{6\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{11\left(-2\right)}{6\times 7}.

$$x=\frac{-22}{42}$$

Whakahekea te hautanga \frac{-22}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=-\frac{11}{21}$$