Whakaoti i te 3(x-1)+2(x-5)=7(x+11)

$$3(x-1)+2(x-5)=7(x+11)$$

Whakaoti mō x

$$x=-45$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$3x-3+2\left(x-5\right)=7\left(x+11\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x-5.

$$3x-3+2x-10=7\left(x+11\right)$$

Pahekotia te 3x me 2x, ka 5x.

$$5x-3-10=7\left(x+11\right)$$

Tangohia te 10 i te -3, ka -13.

$$5x-13=7\left(x+11\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 7 ki te x+11.

$$5x-13=7x+77$$

Tangohia te 7x mai i ngā taha e rua.

$$5x-13-7x=77$$

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

$$-2x-13=77$$

Me tāpiri te 13 ki ngā taha e rua.

$$-2x=77+13$$

Tāpirihia te 77 ki te 13, ka 90.

$$-2x=90$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{90}{-2}$$

Whakawehea te 90 ki te -2, kia riro ko -45.

$$x=-45$$