Whakaoti i te x-(2x-(3x-4)/7)=4x-27/3-3

$$x - ( 2 x - \frac { ( 3 x - 4 ) } { 7 } ) = \frac { 4 x - 27 } { 3 } - 3$$

Whakaoti mō x

$$x=6$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 21, arā, te tauraro pātahi he tino iti rawa te kitea o 7,3.

$$21x-21\left(2x-\frac{3x-4}{7}\right)=7\left(4x-27\right)-63$$

Whakamahia te āhuatanga tohatoha hei whakarea te 7 ki te 4x-27.

$$21x-21\left(2x-\frac{3x-4}{7}\right)=28x-189-63$$

Tangohia te 63 i te -189, ka -252.

$$21x-21\left(2x-\frac{3x-4}{7}\right)=28x-252$$

Whakawehea ia wā o 3x-4 ki te 7, kia riro ko \frac{3}{7}x-\frac{4}{7}.

$$21x-21\left(2x-\left(\frac{3}{7}x-\frac{4}{7}\right)\right)=28x-252$$

Hei kimi i te tauaro o \frac{3}{7}x-\frac{4}{7}, kimihia te tauaro o ia taurangi.

$$21x-21\left(2x-\frac{3}{7}x-\left(-\frac{4}{7}\right)\right)=28x-252$$

Ko te tauaro o -\frac{4}{7} ko \frac{4}{7}.

$$21x-21\left(2x-\frac{3}{7}x+\frac{4}{7}\right)=28x-252$$

Pahekotia te 2x me -\frac{3}{7}x, ka \frac{11}{7}x.

$$21x-21\left(\frac{11}{7}x+\frac{4}{7}\right)=28x-252$$

Whakamahia te āhuatanga tohatoha hei whakarea te -21 ki te \frac{11}{7}x+\frac{4}{7}.

$$21x-21\times \frac{11}{7}x-21\times \frac{4}{7}=28x-252$$

Tuhia te -21\times \frac{11}{7} hei hautanga kotahi.

$$21x+\frac{-21\times 11}{7}x-21\times \frac{4}{7}=28x-252$$

Whakareatia te -21 ki te 11, ka -231.

$$21x+\frac{-231}{7}x-21\times \frac{4}{7}=28x-252$$

Whakawehea te -231 ki te 7, kia riro ko -33.

$$21x-33x-21\times \frac{4}{7}=28x-252$$

Tuhia te -21\times \frac{4}{7} hei hautanga kotahi.

$$21x-33x+\frac{-21\times 4}{7}=28x-252$$

Whakareatia te -21 ki te 4, ka -84.

$$21x-33x+\frac{-84}{7}=28x-252$$

Whakawehea te -84 ki te 7, kia riro ko -12.

$$21x-33x-12=28x-252$$

Pahekotia te 21x me -33x, ka -12x.

$$-12x-12=28x-252$$

Tangohia te 28x mai i ngā taha e rua.

$$-12x-12-28x=-252$$

Pahekotia te -12x me -28x, ka -40x.

$$-40x-12=-252$$

Me tāpiri te 12 ki ngā taha e rua.

$$-40x=-252+12$$

Tāpirihia te -252 ki te 12, ka -240.

$$-40x=-240$$

Whakawehea ngā taha e rua ki te -40.

$$x=\frac{-240}{-40}$$

Whakawehea te -240 ki te -40, kia riro ko 6.

$$x=6$$