Whakaoti i te 3(x-2)+x=5(x-3)+9

$$3 ( x - 2 ) + x = 5 ( x - 3 ) + 9$$

Whakaoti mō x

$$x=0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$3x-6+x=5\left(x-3\right)+9$$

Pahekotia te 3x me x, ka 4x.

$$4x-6=5\left(x-3\right)+9$$

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

$$4x-6=5x-15+9$$

Tāpirihia te -15 ki te 9, ka -6.

$$4x-6=5x-6$$

Tangohia te 5x mai i ngā taha e rua.

$$4x-6-5x=-6$$

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

$$-x-6=-6$$

Me tāpiri te 6 ki ngā taha e rua.

$$-x=-6+6$$

Tāpirihia te -6 ki te 6, ka 0.

$$-x=0$$

He ōrite te hua o ngā tau e rua ki 0 ina 0 tētahi o rāua te iti rawa. Tātemea kāore te -1 e ōrite ki 0, me ōrite pū te x ki 0.

$$x=0$$