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

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

Whakaoti mō x

$$x = \frac{16}{5} = 3\frac{1}{5} = 3.2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$4x+12-5\left(2x-6\right)=2\left(4x-3\right)+x$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te 2x-6.

$$4x+12-10x+30=2\left(4x-3\right)+x$$

Pahekotia te 4x me -10x, ka -6x.

$$-6x+12+30=2\left(4x-3\right)+x$$

Tāpirihia te 12 ki te 30, ka 42.

$$-6x+42=2\left(4x-3\right)+x$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 4x-3.

$$-6x+42=8x-6+x$$

Pahekotia te 8x me x, ka 9x.

$$-6x+42=9x-6$$

Tangohia te 9x mai i ngā taha e rua.

$$-6x+42-9x=-6$$

Pahekotia te -6x me -9x, ka -15x.

$$-15x+42=-6$$

Tangohia te 42 mai i ngā taha e rua.

$$-15x=-6-42$$

Tangohia te 42 i te -6, ka -48.

$$-15x=-48$$

Whakawehea ngā taha e rua ki te -15.

$$x=\frac{-48}{-15}$$

Whakahekea te hautanga \frac{-48}{-15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -3.

$$x=\frac{16}{5}$$