Whakaoti i te 3(x+1)-2(x-1)=5(x-3)

$$3(x+1)-2(x-1)=5(x-3)$$

Whakaoti mō x

$$x=5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$3x+3-2\left(x-1\right)=5\left(x-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x-1.

$$3x+3-2x+2=5\left(x-3\right)$$

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

$$x+3+2=5\left(x-3\right)$$

Tāpirihia te 3 ki te 2, ka 5.

$$x+5=5\left(x-3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te x-3.

$$x+5=5x-15$$

Tangohia te 5x mai i ngā taha e rua.

$$x+5-5x=-15$$

Pahekotia te x me -5x, ka -4x.

$$-4x+5=-15$$

Tangohia te 5 mai i ngā taha e rua.

$$-4x=-15-5$$

Tangohia te 5 i te -15, ka -20.

$$-4x=-20$$

Whakawehea ngā taha e rua ki te -4.

$$x=\frac{-20}{-4}$$

Whakawehea te -20 ki te -4, kia riro ko 5.

$$x=5$$