Whakaoti i te 2/5-7/2x+1/2(x/1+frac{1}{3})=-frac{5}{2}+frac{x}{1}

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

Whakaoti mō x

$$x=\frac{23}{30}\approx 0.766666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 30, arā, te tauraro pātahi he tino iti rawa te kitea o 5,2,3.

$$12-105x+15\left(\frac{x}{1}+\frac{1}{3}\right)=-75+30x$$

Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$12-105x+15\left(x+\frac{1}{3}\right)=-75+30x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 15 ki te x+\frac{1}{3}.

$$12-105x+15x+15\times \frac{1}{3}=-75+30x$$

Whakareatia te 15 ki te \frac{1}{3}, ka \frac{15}{3}.

$$12-105x+15x+\frac{15}{3}=-75+30x$$

Whakawehea te 15 ki te 3, kia riro ko 5.

$$12-105x+15x+5=-75+30x$$

Pahekotia te -105x me 15x, ka -90x.

$$12-90x+5=-75+30x$$

Tāpirihia te 12 ki te 5, ka 17.

$$17-90x=-75+30x$$

Tangohia te 30x mai i ngā taha e rua.

$$17-90x-30x=-75$$

Pahekotia te -90x me -30x, ka -120x.

$$17-120x=-75$$

Tangohia te 17 mai i ngā taha e rua.

$$-120x=-75-17$$

Tangohia te 17 i te -75, ka -92.

$$-120x=-92$$

Whakawehea ngā taha e rua ki te -120.

$$x=\frac{-92}{-120}$$

Whakahekea te hautanga \frac{-92}{-120} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -4.

$$x=\frac{23}{30}$$