Whakaoti i te x-3(4-x)=7x-(1-x)

$$x - 3 ( 4 - x ) = 7 x - ( 1 - x )$$

Whakaoti mō x

$$x = -\frac{11}{4} = -2\frac{3}{4} = -2.75$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te 4-x.

$$x-12+3x=7x-\left(1-x\right)$$

Pahekotia te x me 3x, ka 4x.

$$4x-12=7x-\left(1-x\right)$$

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

$$4x-12=7x-1-\left(-x\right)$$

Ko te tauaro o -x ko x.

$$4x-12=7x-1+x$$

Pahekotia te 7x me x, ka 8x.

$$4x-12=8x-1$$

Tangohia te 8x mai i ngā taha e rua.

$$4x-12-8x=-1$$

Pahekotia te 4x me -8x, ka -4x.

$$-4x-12=-1$$

Me tāpiri te 12 ki ngā taha e rua.

$$-4x=-1+12$$

Tāpirihia te -1 ki te 12, ka 11.

$$-4x=11$$

Whakawehea ngā taha e rua ki te -4.

$$x=\frac{11}{-4}$$

Ka taea te hautanga \frac{11}{-4} te tuhi anō ko -\frac{11}{4} mā te tango i te tohu tōraro.

$$x=-\frac{11}{4}$$