Whakaoti i te 3(2x-1)-5(x-3)+6(3x-4)=24

$$3 ( 2 x - 1 ) - 5 ( x - 3 ) + 6 ( 3 x - 4 ) = 24$$

Whakaoti mō x

$$x = \frac{36}{19} = 1\frac{17}{19} \approx 1.894736842$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 2x-1.

$$6x-3-5\left(x-3\right)+6\left(3x-4\right)=24$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te x-3.

$$6x-3-5x+15+6\left(3x-4\right)=24$$

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

$$x-3+15+6\left(3x-4\right)=24$$

Tāpirihia te -3 ki te 15, ka 12.

$$x+12+6\left(3x-4\right)=24$$

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te 3x-4.

$$x+12+18x-24=24$$

Pahekotia te x me 18x, ka 19x.

$$19x+12-24=24$$

Tangohia te 24 i te 12, ka -12.

$$19x-12=24$$

Me tāpiri te 12 ki ngā taha e rua.

$$19x=24+12$$

Tāpirihia te 24 ki te 12, ka 36.

$$19x=36$$

Whakawehea ngā taha e rua ki te 19.

$$x=\frac{36}{19}$$