Whakaoti i te 1/5left(-1/4x-2right)+7=8/5x

$$\frac{ 1 }{ 5 } \left( - \frac{ 1 }{ 4 } x-2 \right) +7 = \frac{ 8 }{ 5 } x$$

Whakaoti mō x

$$x=4$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{5} ki te -\frac{1}{4}x-2.

$$\frac{1}{5}\left(-\frac{1}{4}\right)x+\frac{1}{5}\left(-2\right)+7=\frac{8}{5}x$$

Me whakarea te \frac{1}{5} ki te -\frac{1}{4} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\left(-1\right)}{5\times 4}x+\frac{1}{5}\left(-2\right)+7=\frac{8}{5}x$$

Mahia ngā whakarea i roto i te hautanga \frac{1\left(-1\right)}{5\times 4}.

$$\frac{-1}{20}x+\frac{1}{5}\left(-2\right)+7=\frac{8}{5}x$$

Ka taea te hautanga \frac{-1}{20} te tuhi anō ko -\frac{1}{20} mā te tango i te tohu tōraro.

$$-\frac{1}{20}x+\frac{1}{5}\left(-2\right)+7=\frac{8}{5}x$$

Whakareatia te \frac{1}{5} ki te -2, ka \frac{-2}{5}.

$$-\frac{1}{20}x+\frac{-2}{5}+7=\frac{8}{5}x$$

Ka taea te hautanga \frac{-2}{5} te tuhi anō ko -\frac{2}{5} mā te tango i te tohu tōraro.

$$-\frac{1}{20}x-\frac{2}{5}+7=\frac{8}{5}x$$

Me tahuri te 7 ki te hautau \frac{35}{5}.

$$-\frac{1}{20}x-\frac{2}{5}+\frac{35}{5}=\frac{8}{5}x$$

Tā te mea he rite te tauraro o -\frac{2}{5} me \frac{35}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-\frac{1}{20}x+\frac{-2+35}{5}=\frac{8}{5}x$$

Tāpirihia te -2 ki te 35, ka 33.

$$-\frac{1}{20}x+\frac{33}{5}=\frac{8}{5}x$$

Tangohia te \frac{8}{5}x mai i ngā taha e rua.

$$-\frac{1}{20}x+\frac{33}{5}-\frac{8}{5}x=0$$

Pahekotia te -\frac{1}{20}x me -\frac{8}{5}x, ka -\frac{33}{20}x.

$$-\frac{33}{20}x+\frac{33}{5}=0$$

Tangohia te \frac{33}{5} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$-\frac{33}{20}x=-\frac{33}{5}$$

Me whakarea ngā taha e rua ki te -\frac{20}{33}, te tau utu o -\frac{33}{20}.

$$x=-\frac{33}{5}\left(-\frac{20}{33}\right)$$

Me whakarea te -\frac{33}{5} ki te -\frac{20}{33} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{-33\left(-20\right)}{5\times 33}$$

Mahia ngā whakarea i roto i te hautanga \frac{-33\left(-20\right)}{5\times 33}.

$$x=\frac{660}{165}$$

Whakawehea te 660 ki te 165, kia riro ko 4.

$$x=4$$