Whakaoti i te 278left(x-3right)-463left(6-2xright)-888left(7x-21right)=0

$$278 \left( x-3 \right) -463 \left( 6-2x \right) -888 \left( 7x-21 \right) = 0$$

Whakaoti mō x

$$x=3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 278 ki te x-3.

$$278x-834-463\left(6-2x\right)-888\left(7x-21\right)=0$$

Whakamahia te āhuatanga tohatoha hei whakarea te -463 ki te 6-2x.

$$278x-834-2778+926x-888\left(7x-21\right)=0$$

Tangohia te 2778 i te -834, ka -3612.

$$278x-3612+926x-888\left(7x-21\right)=0$$

Pahekotia te 278x me 926x, ka 1204x.

$$1204x-3612-888\left(7x-21\right)=0$$

Whakamahia te āhuatanga tohatoha hei whakarea te -888 ki te 7x-21.

$$1204x-3612-6216x+18648=0$$

Pahekotia te 1204x me -6216x, ka -5012x.

$$-5012x-3612+18648=0$$

Tāpirihia te -3612 ki te 18648, ka 15036.

$$-5012x+15036=0$$

Tangohia te 15036 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-5012x=-15036$$

Whakawehea ngā taha e rua ki te -5012.

$$x=\frac{-15036}{-5012}$$

Whakawehea te -15036 ki te -5012, kia riro ko 3.

$$x=3$$