Whakaoti i te e-5(x-2)+8=-7(x-6)

$$e - 5 ( x - 2 ) + 8 = - 7 ( x - 6 )$$

Whakaoti mō x

$$x=-\frac{e}{2}+12\approx 10.640859086$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$e-5x+10+8=-7\left(x-6\right)$$

Tāpirihia te 10 ki te 8, ka 18.

$$e-5x+18=-7\left(x-6\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -7 ki te x-6.

$$e-5x+18=-7x+42$$

Me tāpiri te 7x ki ngā taha e rua.

$$e-5x+18+7x=42$$

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

$$e+2x+18=42$$

Tangohia te e mai i ngā taha e rua.

$$2x+18=42-e$$

Tangohia te 18 mai i ngā taha e rua.

$$2x=42-e-18$$

Tangohia te 18 i te 42, ka 24.

$$2x=24-e$$

Whakawehea ngā taha e rua ki te 2.

$$\frac{2x}{2}=\frac{24-e}{2}$$

Mā te whakawehe ki te 2 ka wetekia te whakareanga ki te 2.

$$x=\frac{24-e}{2}$$

Whakawehe 24-e ki te 2.

$$x=-\frac{e}{2}+12$$