Whakaoti i te x/4+6=x/3-42/3

$$\frac { x } { 4 } + 6 = \frac { x } { 3 } - 4 \frac { 2 } { 3 }$$

Whakaoti mō x

$$x=128$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 12, arā, te tauraro pātahi he tino iti rawa te kitea o 4,3.

$$3x+72=4x-4\left(4\times 3+2\right)$$

Whakareatia te 4 ki te 3, ka 12.

$$3x+72=4x-4\left(12+2\right)$$

Tāpirihia te 12 ki te 2, ka 14.

$$3x+72=4x-4\times 14$$

Whakareatia te -4 ki te 14, ka -56.

$$3x+72=4x-56$$

Tangohia te 4x mai i ngā taha e rua.

$$3x+72-4x=-56$$

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

$$-x+72=-56$$

Tangohia te 72 mai i ngā taha e rua.

$$-x=-56-72$$

Tangohia te 72 i te -56, ka -128.

$$-x=-128$$

Me whakarea ngā taha e rua ki te -1.

$$x=128$$