Whakaoti i te 8x+2/6+2=2x-4/8

$$\frac{ 8x+2 }{ 6 } +2 = \frac{ 2x-4 }{ 8 }$$

Whakaoti mō x

$$x = -\frac{34}{13} = -2\frac{8}{13} \approx -2.615384615$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 24, arā, te tauraro pātahi he tino iti rawa te kitea o 6,8.

$$4\left(8x+2\right)+48=3\left(2x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 8x+2.

$$32x+8+48=3\left(2x-4\right)$$

Tāpirihia te 8 ki te 48, ka 56.

$$32x+56=3\left(2x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 2x-4.

$$32x+56=6x-12$$

Tangohia te 6x mai i ngā taha e rua.

$$32x+56-6x=-12$$

Pahekotia te 32x me -6x, ka 26x.

$$26x+56=-12$$

Tangohia te 56 mai i ngā taha e rua.

$$26x=-12-56$$

Tangohia te 56 i te -12, ka -68.

$$26x=-68$$

Whakawehea ngā taha e rua ki te 26.

$$x=\frac{-68}{26}$$

Whakahekea te hautanga \frac{-68}{26} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=-\frac{34}{13}$$