Whakaoti i te x+7/2-(x-x-2/7)=36

$$\frac { x + 7 } { 2 } - ( x - \frac { x - 2 } { 7 } ) = 36$$

Whakaoti mō x

$$x = -\frac{459}{5} = -91\frac{4}{5} = -91.8$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 14, arā, te tauraro pātahi he tino iti rawa te kitea o 2,7.

$$7\left(x+7\right)-14\left(x-\frac{x-2}{7}\right)=504$$

Whakamahia te āhuatanga tohatoha hei whakarea te 7 ki te x+7.

$$7x+49-14\left(x-\frac{x-2}{7}\right)=504$$

Whakawehea ia wā o x-2 ki te 7, kia riro ko \frac{1}{7}x-\frac{2}{7}.

$$7x+49-14\left(x-\left(\frac{1}{7}x-\frac{2}{7}\right)\right)=504$$

Hei kimi i te tauaro o \frac{1}{7}x-\frac{2}{7}, kimihia te tauaro o ia taurangi.

$$7x+49-14\left(x-\frac{1}{7}x-\left(-\frac{2}{7}\right)\right)=504$$

Ko te tauaro o -\frac{2}{7} ko \frac{2}{7}.

$$7x+49-14\left(x-\frac{1}{7}x+\frac{2}{7}\right)=504$$

Pahekotia te x me -\frac{1}{7}x, ka \frac{6}{7}x.

$$7x+49-14\left(\frac{6}{7}x+\frac{2}{7}\right)=504$$

Whakamahia te āhuatanga tohatoha hei whakarea te -14 ki te \frac{6}{7}x+\frac{2}{7}.

$$7x+49-14\times \frac{6}{7}x-14\times \frac{2}{7}=504$$

Tuhia te -14\times \frac{6}{7} hei hautanga kotahi.

$$7x+49+\frac{-14\times 6}{7}x-14\times \frac{2}{7}=504$$

Whakareatia te -14 ki te 6, ka -84.

$$7x+49+\frac{-84}{7}x-14\times \frac{2}{7}=504$$

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

$$7x+49-12x-14\times \frac{2}{7}=504$$

Tuhia te -14\times \frac{2}{7} hei hautanga kotahi.

$$7x+49-12x+\frac{-14\times 2}{7}=504$$

Whakareatia te -14 ki te 2, ka -28.

$$7x+49-12x+\frac{-28}{7}=504$$

Whakawehea te -28 ki te 7, kia riro ko -4.

$$7x+49-12x-4=504$$

Pahekotia te 7x me -12x, ka -5x.

$$-5x+49-4=504$$

Tangohia te 4 i te 49, ka 45.

$$-5x+45=504$$

Tangohia te 45 mai i ngā taha e rua.

$$-5x=504-45$$

Tangohia te 45 i te 504, ka 459.

$$-5x=459$$

Whakawehea ngā taha e rua ki te -5.

$$x=\frac{459}{-5}$$

Ka taea te hautanga \frac{459}{-5} te tuhi anō ko -\frac{459}{5} mā te tango i te tohu tōraro.

$$x=-\frac{459}{5}$$