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

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

Whakaoti mō x

$$x = \frac{17}{11} = 1\frac{6}{11} \approx 1.545454545$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 15, arā, te tauraro pātahi he tino iti rawa te kitea o 5,3.

$$3\left(6x-4\right)=9-5\times 3\left(x-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 6x-4.

$$18x-12=9-5\times 3\left(x-2\right)$$

Whakareatia te -5 ki te 3, ka -15.

$$18x-12=9-15\left(x-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -15 ki te x-2.

$$18x-12=9-15x+30$$

Tāpirihia te 9 ki te 30, ka 39.

$$18x-12=39-15x$$

Me tāpiri te 15x ki ngā taha e rua.

$$18x-12+15x=39$$

Pahekotia te 18x me 15x, ka 33x.

$$33x-12=39$$

Me tāpiri te 12 ki ngā taha e rua.

$$33x=39+12$$

Tāpirihia te 39 ki te 12, ka 51.

$$33x=51$$

Whakawehea ngā taha e rua ki te 33.

$$x=\frac{51}{33}$$

Whakahekea te hautanga \frac{51}{33} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$x=\frac{17}{11}$$