Whakaoti i te 5+7(2-5x)=2(9x+1)-(13x-57)

$$5+7(2-5x)=2(9x+1)-(13x-57)$$

Whakaoti mō x

$$x=-1$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 7 ki te 2-5x.

$$5+14-35x=2\left(9x+1\right)-\left(13x-57\right)$$

Tāpirihia te 5 ki te 14, ka 19.

$$19-35x=2\left(9x+1\right)-\left(13x-57\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 9x+1.

$$19-35x=18x+2-\left(13x-57\right)$$

Hei kimi i te tauaro o 13x-57, kimihia te tauaro o ia taurangi.

$$19-35x=18x+2-13x-\left(-57\right)$$

Ko te tauaro o -57 ko 57.

$$19-35x=18x+2-13x+57$$

Pahekotia te 18x me -13x, ka 5x.

$$19-35x=5x+2+57$$

Tāpirihia te 2 ki te 57, ka 59.

$$19-35x=5x+59$$

Tangohia te 5x mai i ngā taha e rua.

$$19-35x-5x=59$$

Pahekotia te -35x me -5x, ka -40x.

$$19-40x=59$$

Tangohia te 19 mai i ngā taha e rua.

$$-40x=59-19$$

Tangohia te 19 i te 59, ka 40.

$$-40x=40$$

Whakawehea ngā taha e rua ki te -40.

$$x=\frac{40}{-40}$$

Whakawehea te 40 ki te -40, kia riro ko -1.

$$x=-1$$