Whakaoti i te 2x+5(x+3)=6x-4(3x-10)+1

$$2x+5(x+3)=6x-4(3x-10)+1$$

Whakaoti mō x

$$x=2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$2x+5x+15=6x-4\left(3x-10\right)+1$$

Pahekotia te 2x me 5x, ka 7x.

$$7x+15=6x-4\left(3x-10\right)+1$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 3x-10.

$$7x+15=6x-12x+40+1$$

Pahekotia te 6x me -12x, ka -6x.

$$7x+15=-6x+40+1$$

Tāpirihia te 40 ki te 1, ka 41.

$$7x+15=-6x+41$$

Me tāpiri te 6x ki ngā taha e rua.

$$7x+15+6x=41$$

Pahekotia te 7x me 6x, ka 13x.

$$13x+15=41$$

Tangohia te 15 mai i ngā taha e rua.

$$13x=41-15$$

Tangohia te 15 i te 41, ka 26.

$$13x=26$$

Whakawehea ngā taha e rua ki te 13.

$$x=\frac{26}{13}$$

Whakawehea te 26 ki te 13, kia riro ko 2.

$$x=2$$