Whakaoti i te 2x-12/8=-2x+10/2-x+6/4

$$\frac { 2 x - 12 } { 8 } = \frac { - 2 x + 10 } { 2 } - \frac { x + 6 } { 4 }$$

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 8, arā, te tauraro pātahi he tino iti rawa te kitea o 8,2,4.

$$2x-12=4\left(-2x+10\right)-2\left(x+6\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te -2x+10.

$$2x-12=-8x+40-2\left(x+6\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x+6.

$$2x-12=-8x+40-2x-12$$

Pahekotia te -8x me -2x, ka -10x.

$$2x-12=-10x+40-12$$

Tangohia te 12 i te 40, ka 28.

$$2x-12=-10x+28$$

Me tāpiri te 10x ki ngā taha e rua.

$$2x-12+10x=28$$

Pahekotia te 2x me 10x, ka 12x.

$$12x-12=28$$

Me tāpiri te 12 ki ngā taha e rua.

$$12x=28+12$$

Tāpirihia te 28 ki te 12, ka 40.

$$12x=40$$

Whakawehea ngā taha e rua ki te 12.

$$x=\frac{40}{12}$$

Whakahekea te hautanga \frac{40}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

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