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

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

Whakaoti mō x

$$x = -\frac{7}{6} = -1\frac{1}{6} \approx -1.166666667$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x-1.

$$2x+3x-3=4x-5\left(x+2\right)$$

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

$$5x-3=4x-5\left(x+2\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te x+2.

$$5x-3=4x-5x-10$$

Pahekotia te 4x me -5x, ka -x.

$$5x-3=-x-10$$

Me tāpiri te x ki ngā taha e rua.

$$5x-3+x=-10$$

Pahekotia te 5x me x, ka 6x.

$$6x-3=-10$$

Me tāpiri te 3 ki ngā taha e rua.

$$6x=-10+3$$

Tāpirihia te -10 ki te 3, ka -7.

$$6x=-7$$

Whakawehea ngā taha e rua ki te 6.

$$x=\frac{-7}{6}$$

Ka taea te hautanga \frac{-7}{6} te tuhi anō ko -\frac{7}{6} mā te tango i te tohu tōraro.

$$x=-\frac{7}{6}$$