Whakaoti i te 3(x+6)-(3x-4)=8-4(3-x)

$$3 ( x + 6 ) - ( 3 x - 4 ) = 8 - 4 ( 3 - x )$$

Whakaoti mō x

$$x = \frac{13}{2} = 6\frac{1}{2} = 6.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x+6.

$$3x+18-\left(3x-4\right)=8-4\left(3-x\right)$$

Hei kimi i te tauaro o 3x-4, kimihia te tauaro o ia taurangi.

$$3x+18-3x-\left(-4\right)=8-4\left(3-x\right)$$

Ko te tauaro o -4 ko 4.

$$3x+18-3x+4=8-4\left(3-x\right)$$

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

$$18+4=8-4\left(3-x\right)$$

Tāpirihia te 18 ki te 4, ka 22.

$$22=8-4\left(3-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 3-x.

$$22=8-12+4x$$

Tangohia te 12 i te 8, ka -4.

$$22=-4+4x$$

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

$$-4+4x=22$$

Me tāpiri te 4 ki ngā taha e rua.

$$4x=22+4$$

Tāpirihia te 22 ki te 4, ka 26.

$$4x=26$$

Whakawehea ngā taha e rua ki te 4.

$$x=\frac{26}{4}$$

Whakahekea te hautanga \frac{26}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{13}{2}$$