Whakaoti i te 1/7(2x+14)=4-2x

$$\frac { 1 } { 7 } ( 2 x + 14 ) = 4 - 2 x$$

Whakaoti mō x

$$x=\frac{7}{8}=0.875$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{1}{7} ki te 2x+14.

$$\frac{1}{7}\times 2x+\frac{1}{7}\times 14=4-2x$$

Whakareatia te \frac{1}{7} ki te 2, ka \frac{2}{7}.

$$\frac{2}{7}x+\frac{1}{7}\times 14=4-2x$$

Whakareatia te \frac{1}{7} ki te 14, ka \frac{14}{7}.

$$\frac{2}{7}x+\frac{14}{7}=4-2x$$

Whakawehea te 14 ki te 7, kia riro ko 2.

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

Me tāpiri te 2x ki ngā taha e rua.

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

Pahekotia te \frac{2}{7}x me 2x, ka \frac{16}{7}x.

$$\frac{16}{7}x+2=4$$

Tangohia te 2 mai i ngā taha e rua.

$$\frac{16}{7}x=4-2$$

Tangohia te 2 i te 4, ka 2.

$$\frac{16}{7}x=2$$

Me whakarea ngā taha e rua ki te \frac{7}{16}, te tau utu o \frac{16}{7}.

$$x=2\times \frac{7}{16}$$

Tuhia te 2\times \frac{7}{16} hei hautanga kotahi.

$$x=\frac{2\times 7}{16}$$

Whakareatia te 2 ki te 7, ka 14.

$$x=\frac{14}{16}$$

Whakahekea te hautanga \frac{14}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=\frac{7}{8}$$