Whakaoti i te 1/3*(2x-1)+x/2=1/6+2x/3

$$\frac { 1 } { 3 } \cdot ( 2 x - 1 ) + \frac { x } { 2 } = \frac { 1 } { 6 } + \frac { 2 x } { 3 }$$

Whakaoti mō x

$$x=1$$

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 3,2,6.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 2x-1.

$$4x-2+3x=1+2\times 2x$$

Pahekotia te 4x me 3x, ka 7x.

$$7x-2=1+2\times 2x$$

Whakareatia te 2 ki te 2, ka 4.

$$7x-2=1+4x$$

Tangohia te 4x mai i ngā taha e rua.

$$7x-2-4x=1$$

Pahekotia te 7x me -4x, ka 3x.

$$3x-2=1$$

Me tāpiri te 2 ki ngā taha e rua.

$$3x=1+2$$

Tāpirihia te 1 ki te 2, ka 3.

$$3x=3$$

Whakawehea ngā taha e rua ki te 3.

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

Whakawehea te 3 ki te 3, kia riro ko 1.

$$x=1$$