Whakaoti i te (x-500)*0.75+500*0.1=(1-0.15)x

$$( x - 500 ) \times 0.75 + 500 \times 0.1 = ( 1 - 0.15 ) x$$

Whakaoti mō x

$$x=-3250$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te x-500 ki te 0.75.

$$0.75x-375+500\times 0.1=\left(1-0.15\right)x$$

Whakareatia te 500 ki te 0.1, ka 50.

$$0.75x-375+50=\left(1-0.15\right)x$$

Tāpirihia te -375 ki te 50, ka -325.

$$0.75x-325=\left(1-0.15\right)x$$

Tangohia te 0.15 i te 1, ka 0.85.

$$0.75x-325=0.85x$$

Tangohia te 0.85x mai i ngā taha e rua.

$$0.75x-325-0.85x=0$$

Pahekotia te 0.75x me -0.85x, ka -0.1x.

$$-0.1x-325=0$$

Me tāpiri te 325 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$-0.1x=325$$

Whakawehea ngā taha e rua ki te -0.1.

$$x=\frac{325}{-0.1}$$

Whakarohaina te \frac{325}{-0.1} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x=\frac{3250}{-1}$$

Ka taea te hautanga \frac{3250}{-1} te tuhi anō ko -3250 mā te tango i te tohu tōraro.

$$x=-3250$$