Whakaoti i te 3(1-x)+2x=2/5(-2x+4/10)

$$3(1-x)+2x= \frac{ 2 }{ 5 } (-2x+ \frac{ 4 }{ 10 } )$$

Whakaoti mō x

$$x = \frac{71}{5} = 14\frac{1}{5} = 14.2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 1-x.

$$3-3x+2x=\frac{2}{5}\left(-2x+\frac{4}{10}\right)$$

Pahekotia te -3x me 2x, ka -x.

$$3-x=\frac{2}{5}\left(-2x+\frac{4}{10}\right)$$

Whakahekea te hautanga \frac{4}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$3-x=\frac{2}{5}\left(-2x+\frac{2}{5}\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{2}{5} ki te -2x+\frac{2}{5}.

$$3-x=\frac{2}{5}\left(-2\right)x+\frac{2}{5}\times \frac{2}{5}$$

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

$$3-x=\frac{2\left(-2\right)}{5}x+\frac{2}{5}\times \frac{2}{5}$$

Whakareatia te 2 ki te -2, ka -4.

$$3-x=\frac{-4}{5}x+\frac{2}{5}\times \frac{2}{5}$$

Ka taea te hautanga \frac{-4}{5} te tuhi anō ko -\frac{4}{5} mā te tango i te tohu tōraro.

$$3-x=-\frac{4}{5}x+\frac{2}{5}\times \frac{2}{5}$$

Me whakarea te \frac{2}{5} ki te \frac{2}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$3-x=-\frac{4}{5}x+\frac{2\times 2}{5\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{2\times 2}{5\times 5}.

$$3-x=-\frac{4}{5}x+\frac{4}{25}$$

Me tāpiri te \frac{4}{5}x ki ngā taha e rua.

$$3-x+\frac{4}{5}x=\frac{4}{25}$$

Pahekotia te -x me \frac{4}{5}x, ka -\frac{1}{5}x.

$$3-\frac{1}{5}x=\frac{4}{25}$$

Tangohia te 3 mai i ngā taha e rua.

$$-\frac{1}{5}x=\frac{4}{25}-3$$

Me tahuri te 3 ki te hautau \frac{75}{25}.

$$-\frac{1}{5}x=\frac{4}{25}-\frac{75}{25}$$

Tā te mea he rite te tauraro o \frac{4}{25} me \frac{75}{25}, me tango rāua mā te tango i ō raua taurunga.

$$-\frac{1}{5}x=\frac{4-75}{25}$$

Tangohia te 75 i te 4, ka -71.

$$-\frac{1}{5}x=-\frac{71}{25}$$

Me whakarea ngā taha e rua ki te -5, te tau utu o -\frac{1}{5}.

$$x=-\frac{71}{25}\left(-5\right)$$

Tuhia te -\frac{71}{25}\left(-5\right) hei hautanga kotahi.

$$x=\frac{-71\left(-5\right)}{25}$$

Whakareatia te -71 ki te -5, ka 355.

$$x=\frac{355}{25}$$

Whakahekea te hautanga \frac{355}{25} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x=\frac{71}{5}$$