Whakaoti i te 2+3(4+x)=1-5(6-x)

$$2+3(4+x)=1-5(6-x)$$

Whakaoti mō x

$$x = \frac{43}{2} = 21\frac{1}{2} = 21.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$2+12+3x=1-5\left(6-x\right)$$

Tāpirihia te 2 ki te 12, ka 14.

$$14+3x=1-5\left(6-x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te 6-x.

$$14+3x=1-30+5x$$

Tangohia te 30 i te 1, ka -29.

$$14+3x=-29+5x$$

Tangohia te 5x mai i ngā taha e rua.

$$14+3x-5x=-29$$

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

$$14-2x=-29$$

Tangohia te 14 mai i ngā taha e rua.

$$-2x=-29-14$$

Tangohia te 14 i te -29, ka -43.

$$-2x=-43$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{-43}{-2}$$

Ka taea te hautanga \frac{-43}{-2} te whakamāmā ki te \frac{43}{2} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{43}{2}$$