Whakaoti i te 5x/3-2=-5x-2/6+3x+2/2

$$\frac{ 5x }{ 3 } -2 = - \frac{ 5x-2 }{ 6 } + \frac{ 3x+2 }{ 2 }$$

Whakaoti mō x

$$x = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 3,6,2.

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

Whakareatia te 2 ki te 5, ka 10.

$$10x-12=-\left(5x-2\right)+3\left(3x+2\right)$$

Hei kimi i te tauaro o 5x-2, kimihia te tauaro o ia taurangi.

$$10x-12=-5x-\left(-2\right)+3\left(3x+2\right)$$

Ko te tauaro o -2 ko 2.

$$10x-12=-5x+2+3\left(3x+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 3x+2.

$$10x-12=-5x+2+9x+6$$

Pahekotia te -5x me 9x, ka 4x.

$$10x-12=4x+2+6$$

Tāpirihia te 2 ki te 6, ka 8.

$$10x-12=4x+8$$

Tangohia te 4x mai i ngā taha e rua.

$$10x-12-4x=8$$

Pahekotia te 10x me -4x, ka 6x.

$$6x-12=8$$

Me tāpiri te 12 ki ngā taha e rua.

$$6x=8+12$$

Tāpirihia te 8 ki te 12, ka 20.

$$6x=20$$

Whakawehea ngā taha e rua ki te 6.

$$x=\frac{20}{6}$$

Whakahekea te hautanga \frac{20}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{10}{3}$$