Whakaoti i te x+5/6+2x/3=1-x/2+1

$$\frac { x + 5 } { 6 } + \frac { 2 x } { 3 } = \frac { 1 - x } { 2 } + 1$$

Whakaoti mō x

$$x=\frac{1}{2}=0.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 6,3,2.

$$x+5+2\times 2x=3\left(1-x\right)+6$$

Whakareatia te 2 ki te 2, ka 4.

$$x+5+4x=3\left(1-x\right)+6$$

Pahekotia te x me 4x, ka 5x.

$$5x+5=3\left(1-x\right)+6$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 1-x.

$$5x+5=3-3x+6$$

Tāpirihia te 3 ki te 6, ka 9.

$$5x+5=9-3x$$

Me tāpiri te 3x ki ngā taha e rua.

$$5x+5+3x=9$$

Pahekotia te 5x me 3x, ka 8x.

$$8x+5=9$$

Tangohia te 5 mai i ngā taha e rua.

$$8x=9-5$$

Tangohia te 5 i te 9, ka 4.

$$8x=4$$

Whakawehea ngā taha e rua ki te 8.

$$x=\frac{4}{8}$$

Whakahekea te hautanga \frac{4}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$x=\frac{1}{2}$$