Whakaoti i te 1/5x=10*4/5x-2-x

$$\frac { 1 } { 5 } x = 10 \cdot \frac { 4 } { 5 } x - 2 - x$$

Whakaoti mō x

$$x=\frac{5}{17}\approx 0.294117647$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tuhia te 10\times \frac{4}{5} hei hautanga kotahi.

$$\frac{1}{5}x=\frac{10\times 4}{5}x-2-x$$

Whakareatia te 10 ki te 4, ka 40.

$$\frac{1}{5}x=\frac{40}{5}x-2-x$$

Whakawehea te 40 ki te 5, kia riro ko 8.

$$\frac{1}{5}x=8x-2-x$$

Pahekotia te 8x me -x, ka 7x.

$$\frac{1}{5}x=7x-2$$

Tangohia te 7x mai i ngā taha e rua.

$$\frac{1}{5}x-7x=-2$$

Pahekotia te \frac{1}{5}x me -7x, ka -\frac{34}{5}x.

$$-\frac{34}{5}x=-2$$

Me whakarea ngā taha e rua ki te -\frac{5}{34}, te tau utu o -\frac{34}{5}.

$$x=-2\left(-\frac{5}{34}\right)$$

Tuhia te -2\left(-\frac{5}{34}\right) hei hautanga kotahi.

$$x=\frac{-2\left(-5\right)}{34}$$

Whakareatia te -2 ki te -5, ka 10.

$$x=\frac{10}{34}$$

Whakahekea te hautanga \frac{10}{34} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{5}{17}$$