Whakaoti i te x+3/2-3(x+2)/6-2/3=x-4/3-frac{3}{2}x

$$\frac { x + 3 } { 2 } - \frac { 3 ( x + 2 ) } { 6 } - \frac { 2 } { 3 } = \frac { x - 4 } { 3 } - \frac { 3 } { 2 } x$$

Whakaoti mō x

$$x=-1$$

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 2,6,3.

$$3\left(x+3\right)-3\left(x+2\right)-4=2\left(x-4\right)-9x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x+3.

$$3x+9-3\left(x+2\right)-4=2\left(x-4\right)-9x$$

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

$$3x+9-3x-6-4=2\left(x-4\right)-9x$$

Pahekotia te 3x me -3x, ka 0.

$$9-6-4=2\left(x-4\right)-9x$$

Tangohia te 6 i te 9, ka 3.

$$3-4=2\left(x-4\right)-9x$$

Tangohia te 4 i te 3, ka -1.

$$-1=2\left(x-4\right)-9x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x-4.

$$-1=2x-8-9x$$

Pahekotia te 2x me -9x, ka -7x.

$$-1=-7x-8$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$-7x-8=-1$$

Me tāpiri te 8 ki ngā taha e rua.

$$-7x=-1+8$$

Tāpirihia te -1 ki te 8, ka 7.

$$-7x=7$$

Whakawehea ngā taha e rua ki te -7.

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

Whakawehea te 7 ki te -7, kia riro ko -1.

$$x=-1$$