Whakaoti i te x-5(1-x)/2-2-3(1-2x)/6=0

$$x - \frac { 5 ( 1 - x ) } { 2 } - \frac { 2 - 3 ( 1 - 2 x ) } { 6 } = 0$$

Whakaoti mō x

$$x=\frac{14}{15}\approx 0.933333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 2,6.

$$6x-3\times 5\left(1-x\right)-\left(2-3\left(1-2x\right)\right)=0$$

Whakareatia te -3 ki te 5, ka -15.

$$6x-15\left(1-x\right)-\left(2-3\left(1-2x\right)\right)=0$$

Whakamahia te āhuatanga tohatoha hei whakarea te -15 ki te 1-x.

$$6x-15+15x-\left(2-3\left(1-2x\right)\right)=0$$

Pahekotia te 6x me 15x, ka 21x.

$$21x-15-\left(2-3\left(1-2x\right)\right)=0$$

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te 1-2x.

$$21x-15-\left(2-3+6x\right)=0$$

Tangohia te 3 i te 2, ka -1.

$$21x-15-\left(-1+6x\right)=0$$

Hei kimi i te tauaro o -1+6x, kimihia te tauaro o ia taurangi.

$$21x-15-\left(-1\right)-6x=0$$

Ko te tauaro o -1 ko 1.

$$21x-15+1-6x=0$$

Tāpirihia te -15 ki te 1, ka -14.

$$21x-14-6x=0$$

Pahekotia te 21x me -6x, ka 15x.

$$15x-14=0$$

Me tāpiri te 14 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$15x=14$$

Whakawehea ngā taha e rua ki te 15.

$$x=\frac{14}{15}$$