Whakaoti i te 7x/6+1/6+2=6x/5-7/5

$$\frac { 7 x } { 6 } + \frac { 1 } { 6 } + 2 = \frac { 6 x } { 5 } - \frac { 7 } { 5 }$$

Whakaoti mō x

$$x=107$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 30, arā, te tauraro pātahi he tino iti rawa te kitea o 6,5.

$$5\times 7x+5+60=6\times 6x-42$$

Whakareatia te 5 ki te 7, ka 35.

$$35x+5+60=6\times 6x-42$$

Tāpirihia te 5 ki te 60, ka 65.

$$35x+65=6\times 6x-42$$

Whakareatia te 6 ki te 6, ka 36.

$$35x+65=36x-42$$

Tangohia te 36x mai i ngā taha e rua.

$$35x+65-36x=-42$$

Pahekotia te 35x me -36x, ka -x.

$$-x+65=-42$$

Tangohia te 65 mai i ngā taha e rua.

$$-x=-42-65$$

Tangohia te 65 i te -42, ka -107.

$$-x=-107$$

Me whakarea ngā taha e rua ki te -1.

$$x=107$$