Whakaoti i te 7/3+2-x/6=1+2x/6-1-x/2

$$\frac { 7 } { 3 } + \frac { 2 - x } { 6 } = \frac { 1 + 2 x } { 6 } - \frac { 1 - x } { 2 }$$

Whakaoti mō x

$$x=3$$

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 3,6,2.

$$14+2-x=1+2x-3\left(1-x\right)$$

Tāpirihia te 14 ki te 2, ka 16.

$$16-x=1+2x-3\left(1-x\right)$$

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

$$16-x=1+2x-3+3x$$

Tangohia te 3 i te 1, ka -2.

$$16-x=-2+2x+3x$$

Pahekotia te 2x me 3x, ka 5x.

$$16-x=-2+5x$$

Tangohia te 5x mai i ngā taha e rua.

$$16-x-5x=-2$$

Pahekotia te -x me -5x, ka -6x.

$$16-6x=-2$$

Tangohia te 16 mai i ngā taha e rua.

$$-6x=-2-16$$

Tangohia te 16 i te -2, ka -18.

$$-6x=-18$$

Whakawehea ngā taha e rua ki te -6.

$$x=\frac{-18}{-6}$$

Whakawehea te -18 ki te -6, kia riro ko 3.

$$x=3$$