Whakaoti i te (122+27x)*2-(15x-0525):75=1101+15(11x-33)

$$( 122 + 27 x ) \cdot 2 - ( 15 x - 0525 ) : 75 = 1101 + 15 ( 11 x - 33 )$$

Whakaoti mō x

$$x = -\frac{905}{278} = -3\frac{71}{278} \approx -3.255395683$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 75.

$$75\left(122+27x\right)\times 2-\left(15x-0\times 525\right)=82575+1125\left(11x-33\right)$$

Whakareatia te 75 ki te 2, ka 150.

$$150\left(122+27x\right)-\left(15x-0\times 525\right)=82575+1125\left(11x-33\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 150 ki te 122+27x.

$$18300+4050x-\left(15x-0\times 525\right)=82575+1125\left(11x-33\right)$$

Whakareatia te 0 ki te 525, ka 0.

$$18300+4050x-\left(15x-0\right)=82575+1125\left(11x-33\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 1125 ki te 11x-33.

$$18300+4050x-\left(15x-0\right)=82575+12375x-37125$$

Tangohia te 37125 i te 82575, ka 45450.

$$18300+4050x-\left(15x-0\right)=45450+12375x$$

Tangohia te 12375x mai i ngā taha e rua.

$$18300+4050x-\left(15x-0\right)-12375x=45450$$

Pahekotia te 4050x me -12375x, ka -8325x.

$$18300-8325x-\left(15x-0\right)=45450$$

Tangohia te 18300 mai i ngā taha e rua.

$$-8325x-\left(15x-0\right)=45450-18300$$

Tangohia te 18300 i te 45450, ka 27150.

$$-8325x-\left(15x-0\right)=27150$$

Whakaraupapatia anō ngā kīanga tau.

$$-8325x-15x=27150$$

Pahekotia te -8325x me -15x, ka -8340x.

$$-8340x=27150$$

Whakawehea ngā taha e rua ki te -8340.

$$x=\frac{27150}{-8340}$$

Whakahekea te hautanga \frac{27150}{-8340} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 30.

$$x=-\frac{905}{278}$$