Whakaoti i te 10(x-4)=4(2x-1)+5

$$10(x-4)=4(2x-1)+5$$

Whakaoti mō x

$$x = \frac{41}{2} = 20\frac{1}{2} = 20.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 10 ki te x-4.

$$10x-40=4\left(2x-1\right)+5$$

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

$$10x-40=8x-4+5$$

Tāpirihia te -4 ki te 5, ka 1.

$$10x-40=8x+1$$

Tangohia te 8x mai i ngā taha e rua.

$$10x-40-8x=1$$

Pahekotia te 10x me -8x, ka 2x.

$$2x-40=1$$

Me tāpiri te 40 ki ngā taha e rua.

$$2x=1+40$$

Tāpirihia te 1 ki te 40, ka 41.

$$2x=41$$

Whakawehea ngā taha e rua ki te 2.

$$x=\frac{41}{2}$$