Whakaoti i te 6x+24=(1-12%)5x*(1+20%)

$$6 x + 24 = ( 1 - 12 \% ) 5 x \cdot ( 1 + 20 \% )$$

Whakaoti mō x

$$x = -\frac{100}{3} = -33\frac{1}{3} \approx -33.333333333$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakahekea te hautanga \frac{12}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$6x+24=\left(1-\frac{3}{25}\right)\times 5x\left(1+\frac{20}{100}\right)$$

Me tahuri te 1 ki te hautau \frac{25}{25}.

$$6x+24=\left(\frac{25}{25}-\frac{3}{25}\right)\times 5x\left(1+\frac{20}{100}\right)$$

Tā te mea he rite te tauraro o \frac{25}{25} me \frac{3}{25}, me tango rāua mā te tango i ō raua taurunga.

$$6x+24=\frac{25-3}{25}\times 5x\left(1+\frac{20}{100}\right)$$

Tangohia te 3 i te 25, ka 22.

$$6x+24=\frac{22}{25}\times 5x\left(1+\frac{20}{100}\right)$$

Tuhia te \frac{22}{25}\times 5 hei hautanga kotahi.

$$6x+24=\frac{22\times 5}{25}x\left(1+\frac{20}{100}\right)$$

Whakareatia te 22 ki te 5, ka 110.

$$6x+24=\frac{110}{25}x\left(1+\frac{20}{100}\right)$$

Whakahekea te hautanga \frac{110}{25} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$6x+24=\frac{22}{5}x\left(1+\frac{20}{100}\right)$$

Whakahekea te hautanga \frac{20}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$6x+24=\frac{22}{5}x\left(1+\frac{1}{5}\right)$$

Me tahuri te 1 ki te hautau \frac{5}{5}.

$$6x+24=\frac{22}{5}x\left(\frac{5}{5}+\frac{1}{5}\right)$$

Tā te mea he rite te tauraro o \frac{5}{5} me \frac{1}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$6x+24=\frac{22}{5}x\times \frac{5+1}{5}$$

Tāpirihia te 5 ki te 1, ka 6.

$$6x+24=\frac{22}{5}x\times \frac{6}{5}$$

Me whakarea te \frac{22}{5} ki te \frac{6}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$6x+24=\frac{22\times 6}{5\times 5}x$$

Mahia ngā whakarea i roto i te hautanga \frac{22\times 6}{5\times 5}.

$$6x+24=\frac{132}{25}x$$

Tangohia te \frac{132}{25}x mai i ngā taha e rua.

$$6x+24-\frac{132}{25}x=0$$

Pahekotia te 6x me -\frac{132}{25}x, ka \frac{18}{25}x.

$$\frac{18}{25}x+24=0$$

Tangohia te 24 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$\frac{18}{25}x=-24$$

Me whakarea ngā taha e rua ki te \frac{25}{18}, te tau utu o \frac{18}{25}.

$$x=-24\times \frac{25}{18}$$

Tuhia te -24\times \frac{25}{18} hei hautanga kotahi.

$$x=\frac{-24\times 25}{18}$$

Whakareatia te -24 ki te 25, ka -600.

$$x=\frac{-600}{18}$$

Whakahekea te hautanga \frac{-600}{18} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$x=-\frac{100}{3}$$