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

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

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 2,3.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x+5.

$$3x+15-3\left(x+5\right)=2\left(2x-2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te x+5.

$$3x+15-3x-15=2\left(2x-2\right)$$

Pahekotia te 3x me -3x, ka 0.

$$15-15=2\left(2x-2\right)$$

Tangohia te 15 i te 15, ka 0.

$$0=2\left(2x-2\right)$$

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

$$0=4x-4$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$4x-4=0$$

Me tāpiri te 4 ki ngā taha e rua. Ko te tau i tāpiria he kore ka hua koia tonu.

$$4x=4$$

Whakawehea ngā taha e rua ki te 4.

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

Whakawehea te 4 ki te 4, kia riro ko 1.

$$x=1$$