Whakaoti i te -9x-6/4--x+1/2=x-9/6

$$\frac { - 9 x - 6 } { 4 } - \frac { - x + 1 } { 2 } = \frac { x - 9 } { 6 }$$

Whakaoti mō x

$$x=-\frac{6}{23}\approx -0.260869565$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 12, arā, te tauraro pātahi he tino iti rawa te kitea o 4,2,6.

$$3\left(-9x-6\right)-6\left(-x+1\right)=2\left(x-9\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te -9x-6.

$$-27x-18-6\left(-x+1\right)=2\left(x-9\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -6 ki te -x+1.

$$-27x-18-6\left(-x\right)-6=2\left(x-9\right)$$

Whakareatia te -6 ki te -1, ka 6.

$$-27x-18+6x-6=2\left(x-9\right)$$

Pahekotia te -27x me 6x, ka -21x.

$$-21x-18-6=2\left(x-9\right)$$

Tangohia te 6 i te -18, ka -24.

$$-21x-24=2\left(x-9\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x-9.

$$-21x-24=2x-18$$

Tangohia te 2x mai i ngā taha e rua.

$$-21x-24-2x=-18$$

Pahekotia te -21x me -2x, ka -23x.

$$-23x-24=-18$$

Me tāpiri te 24 ki ngā taha e rua.

$$-23x=-18+24$$

Tāpirihia te -18 ki te 24, ka 6.

$$-23x=6$$

Whakawehea ngā taha e rua ki te -23.

$$x=\frac{6}{-23}$$

Ka taea te hautanga \frac{6}{-23} te tuhi anō ko -\frac{6}{23} mā te tango i te tohu tōraro.

$$x=-\frac{6}{23}$$