Whakaoti i te 26left(x-1right)=-65left(x+1right)-1/2left(x-78right)

$$26 \left( x-1 \right) = -65 \left( x+1 \right) - \frac{ 1 }{ 2 } \left( x-78 \right)$$

Whakaoti mō x

$$x=0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 26 ki te x-1.

$$26x-26=-65\left(x+1\right)-\frac{1}{2}\left(x-78\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -65 ki te x+1.

$$26x-26=-65x-65-\frac{1}{2}\left(x-78\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -\frac{1}{2} ki te x-78.

$$26x-26=-65x-65-\frac{1}{2}x-\frac{1}{2}\left(-78\right)$$

Tuhia te -\frac{1}{2}\left(-78\right) hei hautanga kotahi.

$$26x-26=-65x-65-\frac{1}{2}x+\frac{-\left(-78\right)}{2}$$

Whakareatia te -1 ki te -78, ka 78.

$$26x-26=-65x-65-\frac{1}{2}x+\frac{78}{2}$$

Whakawehea te 78 ki te 2, kia riro ko 39.

$$26x-26=-65x-65-\frac{1}{2}x+39$$

Pahekotia te -65x me -\frac{1}{2}x, ka -\frac{131}{2}x.

$$26x-26=-\frac{131}{2}x-65+39$$

Tāpirihia te -65 ki te 39, ka -26.

$$26x-26=-\frac{131}{2}x-26$$

Me tāpiri te \frac{131}{2}x ki ngā taha e rua.

$$26x-26+\frac{131}{2}x=-26$$

Pahekotia te 26x me \frac{131}{2}x, ka \frac{183}{2}x.

$$\frac{183}{2}x-26=-26$$

Me tāpiri te 26 ki ngā taha e rua.

$$\frac{183}{2}x=-26+26$$

Tāpirihia te -26 ki te 26, ka 0.

$$\frac{183}{2}x=0$$

He ōrite te hua o ngā tau e rua ki 0 ina 0 tētahi o rāua te iti rawa. Tātemea kāore te \frac{183}{2} e ōrite ki 0, me ōrite pū te x ki 0.

$$x=0$$