Whakaoti i te x/3-7(x-2)/9=4-2x-5/6

$$\frac { x } { 3 } - \frac { 7 ( x - 2 ) } { 9 } = 4 - \frac { 2 x - 5 } { 6 }$$

Whakaoti mō x

$$x = -\frac{59}{2} = -29\frac{1}{2} = -29.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 18, arā, te tauraro pātahi he tino iti rawa te kitea o 3,9,6.

$$6x-2\times 7\left(x-2\right)=72-3\left(2x-5\right)$$

Whakareatia te -2 ki te 7, ka -14.

$$6x-14\left(x-2\right)=72-3\left(2x-5\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -14 ki te x-2.

$$6x-14x+28=72-3\left(2x-5\right)$$

Pahekotia te 6x me -14x, ka -8x.

$$-8x+28=72-3\left(2x-5\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te 2x-5.

$$-8x+28=72-6x+15$$

Tāpirihia te 72 ki te 15, ka 87.

$$-8x+28=87-6x$$

Me tāpiri te 6x ki ngā taha e rua.

$$-8x+28+6x=87$$

Pahekotia te -8x me 6x, ka -2x.

$$-2x+28=87$$

Tangohia te 28 mai i ngā taha e rua.

$$-2x=87-28$$

Tangohia te 28 i te 87, ka 59.

$$-2x=59$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{59}{-2}$$

Ka taea te hautanga \frac{59}{-2} te tuhi anō ko -\frac{59}{2} mā te tango i te tohu tōraro.

$$x=-\frac{59}{2}$$