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

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

Whakaoti mō x

$$x=\frac{11}{14}\approx 0.785714286$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{3}{4} ki te 2x-1.

$$\frac{3}{4}\times 2x+\frac{3}{4}\left(-1\right)=2-2x$$

Tuhia te \frac{3}{4}\times 2 hei hautanga kotahi.

$$\frac{3\times 2}{4}x+\frac{3}{4}\left(-1\right)=2-2x$$

Whakareatia te 3 ki te 2, ka 6.

$$\frac{6}{4}x+\frac{3}{4}\left(-1\right)=2-2x$$

Whakahekea te hautanga \frac{6}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{3}{2}x+\frac{3}{4}\left(-1\right)=2-2x$$

Whakareatia te \frac{3}{4} ki te -1, ka -\frac{3}{4}.

$$\frac{3}{2}x-\frac{3}{4}=2-2x$$

Me tāpiri te 2x ki ngā taha e rua.

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

Pahekotia te \frac{3}{2}x me 2x, ka \frac{7}{2}x.

$$\frac{7}{2}x-\frac{3}{4}=2$$

Me tāpiri te \frac{3}{4} ki ngā taha e rua.

$$\frac{7}{2}x=2+\frac{3}{4}$$

Me tahuri te 2 ki te hautau \frac{8}{4}.

$$\frac{7}{2}x=\frac{8}{4}+\frac{3}{4}$$

Tā te mea he rite te tauraro o \frac{8}{4} me \frac{3}{4}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{7}{2}x=\frac{8+3}{4}$$

Tāpirihia te 8 ki te 3, ka 11.

$$\frac{7}{2}x=\frac{11}{4}$$

Me whakarea ngā taha e rua ki te \frac{2}{7}, te tau utu o \frac{7}{2}.

$$x=\frac{11}{4}\times \frac{2}{7}$$

Me whakarea te \frac{11}{4} ki te \frac{2}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x=\frac{11\times 2}{4\times 7}$$

Mahia ngā whakarea i roto i te hautanga \frac{11\times 2}{4\times 7}.

$$x=\frac{22}{28}$$

Whakahekea te hautanga \frac{22}{28} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{11}{14}$$