Whakaoti i te 3(2/3*1/6)-3/4(2x+18)=-4

$$3 ( \frac { 2 } { 3 } \times \frac { 1 } { 6 } ) - \frac { 3 } { 4 } ( 2 x + 18 ) = - 4$$

Whakaoti mō x

$$x = -\frac{55}{9} = -6\frac{1}{9} \approx -6.111111111$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakakore te 3 me te 3.

$$2\times \frac{1}{6}-\frac{3}{4}\left(2x+18\right)=-4$$

Whakareatia te 2 ki te \frac{1}{6}, ka \frac{2}{6}.

$$\frac{2}{6}-\frac{3}{4}\left(2x+18\right)=-4$$

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

$$\frac{1}{3}-\frac{3}{4}\left(2x+18\right)=-4$$

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{3}{4} ki te 2x+18.

$$\frac{1}{3}-\frac{3}{4}\times 2x-\frac{3}{4}\times 18=-4$$

Tuhia te -\frac{3}{4}\times 2 hei hautanga kotahi.

$$\frac{1}{3}+\frac{-3\times 2}{4}x-\frac{3}{4}\times 18=-4$$

Whakareatia te -3 ki te 2, ka -6.

$$\frac{1}{3}+\frac{-6}{4}x-\frac{3}{4}\times 18=-4$$

Whakahekea te hautanga \frac{-6}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{3}-\frac{3}{2}x-\frac{3}{4}\times 18=-4$$

Tuhia te -\frac{3}{4}\times 18 hei hautanga kotahi.

$$\frac{1}{3}-\frac{3}{2}x+\frac{-3\times 18}{4}=-4$$

Whakareatia te -3 ki te 18, ka -54.

$$\frac{1}{3}-\frac{3}{2}x+\frac{-54}{4}=-4$$

Whakahekea te hautanga \frac{-54}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{3}-\frac{3}{2}x-\frac{27}{2}=-4$$

Ko te maha noa iti rawa atu o 3 me 2 ko 6. Me tahuri \frac{1}{3} me \frac{27}{2} ki te hautau me te tautūnga 6.

$$\frac{2}{6}-\frac{3}{2}x-\frac{81}{6}=-4$$

Tā te mea he rite te tauraro o \frac{2}{6} me \frac{81}{6}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2-81}{6}-\frac{3}{2}x=-4$$

Tangohia te 81 i te 2, ka -79.

$$-\frac{79}{6}-\frac{3}{2}x=-4$$

Me tāpiri te \frac{79}{6} ki ngā taha e rua.

$$-\frac{3}{2}x=-4+\frac{79}{6}$$

Me tahuri te -4 ki te hautau -\frac{24}{6}.

$$-\frac{3}{2}x=-\frac{24}{6}+\frac{79}{6}$$

Tā te mea he rite te tauraro o -\frac{24}{6} me \frac{79}{6}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{3}{2}x=\frac{-24+79}{6}$$

Tāpirihia te -24 ki te 79, ka 55.

$$-\frac{3}{2}x=\frac{55}{6}$$

Me whakarea ngā taha e rua ki te -\frac{2}{3}, te tau utu o -\frac{3}{2}.

$$x=\frac{55}{6}\left(-\frac{2}{3}\right)$$

Me whakarea te \frac{55}{6} ki te -\frac{2}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{55\left(-2\right)}{6\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{55\left(-2\right)}{6\times 3}.

$$x=\frac{-110}{18}$$

Whakahekea te hautanga \frac{-110}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=-\frac{55}{9}$$