Whakaoti i te x-2/3left(-1-15/2-xright)=x/3+1

$$x- \frac{ 2 }{ 3 } \left( -1- \frac{ 15 }{ 2 } -x \right) = \frac{ x }{ 3 } +1$$

Whakaoti mō x

$$x = -\frac{7}{2} = -3\frac{1}{2} = -3.5$$

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 3,2.

$$6x-4\left(-1-\frac{15}{2}-x\right)=2x+6$$

Me tahuri te -1 ki te hautau -\frac{2}{2}.

$$6x-4\left(-\frac{2}{2}-\frac{15}{2}-x\right)=2x+6$$

Tā te mea he rite te tauraro o -\frac{2}{2} me \frac{15}{2}, me tango rāua mā te tango i ō raua taurunga.

$$6x-4\left(\frac{-2-15}{2}-x\right)=2x+6$$

Tangohia te 15 i te -2, ka -17.

$$6x-4\left(-\frac{17}{2}-x\right)=2x+6$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te -\frac{17}{2}-x.

$$6x-4\left(-\frac{17}{2}\right)+4x=2x+6$$

Tuhia te -4\left(-\frac{17}{2}\right) hei hautanga kotahi.

$$6x+\frac{-4\left(-17\right)}{2}+4x=2x+6$$

Whakareatia te -4 ki te -17, ka 68.

$$6x+\frac{68}{2}+4x=2x+6$$

Whakawehea te 68 ki te 2, kia riro ko 34.

$$6x+34+4x=2x+6$$

Pahekotia te 6x me 4x, ka 10x.

$$10x+34=2x+6$$

Tangohia te 2x mai i ngā taha e rua.

$$10x+34-2x=6$$

Pahekotia te 10x me -2x, ka 8x.

$$8x+34=6$$

Tangohia te 34 mai i ngā taha e rua.

$$8x=6-34$$

Tangohia te 34 i te 6, ka -28.

$$8x=-28$$

Whakawehea ngā taha e rua ki te 8.

$$x=\frac{-28}{8}$$

Whakahekea te hautanga \frac{-28}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

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