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

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

Whakaoti mō x

$$x=-2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x+2.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 2x-1.

$$3x+6+8x-4=5\left(x-2\right)$$

Pahekotia te 3x me 8x, ka 11x.

$$11x+6-4=5\left(x-2\right)$$

Tangohia te 4 i te 6, ka 2.

$$11x+2=5\left(x-2\right)$$

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

$$11x+2=5x-10$$

Tangohia te 5x mai i ngā taha e rua.

$$11x+2-5x=-10$$

Pahekotia te 11x me -5x, ka 6x.

$$6x+2=-10$$

Tangohia te 2 mai i ngā taha e rua.

$$6x=-10-2$$

Tangohia te 2 i te -10, ka -12.

$$6x=-12$$

Whakawehea ngā taha e rua ki te 6.

$$x=\frac{-12}{6}$$

Whakawehea te -12 ki te 6, kia riro ko -2.

$$x=-2$$