Whakaoti i te 6-x/4-3x+10/3=2

$$\frac { 6 - x } { 4 } - \frac { 3 x + 10 } { 3 } = 2$$

Whakaoti mō x

$$x = -\frac{46}{15} = -3\frac{1}{15} \approx -3.066666667$$

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 4,3.

$$3\left(6-x\right)-4\left(3x+10\right)=24$$

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

$$18-3x-4\left(3x+10\right)=24$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 3x+10.

$$18-3x-12x-40=24$$

Pahekotia te -3x me -12x, ka -15x.

$$18-15x-40=24$$

Tangohia te 40 i te 18, ka -22.

$$-22-15x=24$$

Me tāpiri te 22 ki ngā taha e rua.

$$-15x=24+22$$

Tāpirihia te 24 ki te 22, ka 46.

$$-15x=46$$

Whakawehea ngā taha e rua ki te -15.

$$x=\frac{46}{-15}$$

Ka taea te hautanga \frac{46}{-15} te tuhi anō ko -\frac{46}{15} mā te tango i te tohu tōraro.

$$x=-\frac{46}{15}$$