Whakaoti i te x+2/5-x-1/2=1-x/5

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

Whakaoti mō x

$$x=-1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 10, arā, te tauraro pātahi he tino iti rawa te kitea o 5,2.

$$2\left(x+2\right)-5\left(x-1\right)=10-2x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x+2.

$$2x+4-5\left(x-1\right)=10-2x$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te x-1.

$$2x+4-5x+5=10-2x$$

Pahekotia te 2x me -5x, ka -3x.

$$-3x+4+5=10-2x$$

Tāpirihia te 4 ki te 5, ka 9.

$$-3x+9=10-2x$$

Me tāpiri te 2x ki ngā taha e rua.

$$-3x+9+2x=10$$

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

$$-x+9=10$$

Tangohia te 9 mai i ngā taha e rua.

$$-x=10-9$$

Tangohia te 9 i te 10, ka 1.

$$-x=1$$

Me whakarea ngā taha e rua ki te -1.

$$x=-1$$