Whakaoti i te -6(x-3)-5=3(x-9)-1

$$- 6 ( x - 3 ) - 5 = 3 ( x - 9 ) - 1$$

Whakaoti mō x

$$x = \frac{41}{9} = 4\frac{5}{9} \approx 4.555555556$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$-6x+18-5=3\left(x-9\right)-1$$

Tangohia te 5 i te 18, ka 13.

$$-6x+13=3\left(x-9\right)-1$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x-9.

$$-6x+13=3x-27-1$$

Tangohia te 1 i te -27, ka -28.

$$-6x+13=3x-28$$

Tangohia te 3x mai i ngā taha e rua.

$$-6x+13-3x=-28$$

Pahekotia te -6x me -3x, ka -9x.

$$-9x+13=-28$$

Tangohia te 13 mai i ngā taha e rua.

$$-9x=-28-13$$

Tangohia te 13 i te -28, ka -41.

$$-9x=-41$$

Whakawehea ngā taha e rua ki te -9.

$$x=\frac{-41}{-9}$$

Ka taea te hautanga \frac{-41}{-9} te whakamāmā ki te \frac{41}{9} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{41}{9}$$