Whakaoti i te 3/2[2/3(x/4-1)-2]-x=2

$$\frac { 3 } { 2 } [ \frac { 2 } { 3 } ( \frac { x } { 4 } - 1 ) - 2 ] - x = 2$$

Whakaoti mō x

$$x=-8$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 12, arā, te tauraro pātahi he tino iti rawa te kitea o 2,3,4.

$$18\left(\frac{2}{3}\left(\frac{x}{4}-1\right)-2\right)-12x=24$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{2}{3} ki te \frac{x}{4}-1.

$$18\left(\frac{2}{3}\times \frac{x}{4}+\frac{2}{3}\left(-1\right)-2\right)-12x=24$$

Me whakarea te \frac{2}{3} ki te \frac{x}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$18\left(\frac{2x}{3\times 4}+\frac{2}{3}\left(-1\right)-2\right)-12x=24$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$18\left(\frac{x}{2\times 3}+\frac{2}{3}\left(-1\right)-2\right)-12x=24$$

Whakareatia te \frac{2}{3} ki te -1, ka -\frac{2}{3}.

$$18\left(\frac{x}{2\times 3}-\frac{2}{3}-2\right)-12x=24$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 2\times 3 me 3 ko 2\times 3. Whakareatia \frac{2}{3} ki te \frac{2}{2}.

$$18\left(\frac{x}{2\times 3}-\frac{2\times 2}{2\times 3}-2\right)-12x=24$$

Tā te mea he rite te tauraro o \frac{x}{2\times 3} me \frac{2\times 2}{2\times 3}, me tango rāua mā te tango i ō raua taurunga.

$$18\left(\frac{x-2\times 2}{2\times 3}-2\right)-12x=24$$

Mahia ngā whakarea i roto o x-2\times 2.

$$18\left(\frac{x-4}{2\times 3}-2\right)-12x=24$$

Whakareatia te 2 ki te 3, ka 6.

$$18\left(\frac{x-4}{6}-2\right)-12x=24$$

Whakamahia te āhuatanga tohatoha hei whakarea te 18 ki te \frac{x-4}{6}-2.

$$18\times \frac{x-4}{6}-36-12x=24$$

Whakakorea atu te tauwehe pūnoa nui rawa 6 i roto i te 18 me te 6.

$$3\left(x-4\right)-36-12x=24$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x-4.

$$3x-12-36-12x=24$$

Tangohia te 36 i te -12, ka -48.

$$3x-48-12x=24$$

Pahekotia te 3x me -12x, ka -9x.

$$-9x-48=24$$

Me tāpiri te 48 ki ngā taha e rua.

$$-9x=24+48$$

Tāpirihia te 24 ki te 48, ka 72.

$$-9x=72$$

Whakawehea ngā taha e rua ki te -9.

$$x=\frac{72}{-9}$$

Whakawehea te 72 ki te -9, kia riro ko -8.

$$x=-8$$