Whakaoti i te 21-[5x-(3x-1)]=5x-12

$$21 - [ 5 x - ( 3 x - 1 ) ] = 5 x - 12$$

Whakaoti mō x

$$x = \frac{32}{7} = 4\frac{4}{7} \approx 4.571428571$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei kimi i te tauaro o 3x-1, kimihia te tauaro o ia taurangi.

$$21-\left(5x-3x-\left(-1\right)\right)=5x-12$$

Ko te tauaro o -1 ko 1.

$$21-\left(5x-3x+1\right)=5x-12$$

Pahekotia te 5x me -3x, ka 2x.

$$21-\left(2x+1\right)=5x-12$$

Hei kimi i te tauaro o 2x+1, kimihia te tauaro o ia taurangi.

$$21-2x-1=5x-12$$

Tangohia te 1 i te 21, ka 20.

$$20-2x=5x-12$$

Tangohia te 5x mai i ngā taha e rua.

$$20-2x-5x=-12$$

Pahekotia te -2x me -5x, ka -7x.

$$20-7x=-12$$

Tangohia te 20 mai i ngā taha e rua.

$$-7x=-12-20$$

Tangohia te 20 i te -12, ka -32.

$$-7x=-32$$

Whakawehea ngā taha e rua ki te -7.

$$x=\frac{-32}{-7}$$

Ka taea te hautanga \frac{-32}{-7} te whakamāmā ki te \frac{32}{7} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{32}{7}$$