Whakaoti i te 3(x-2)=5(x-3)

$$3 ( x - 2 ) = 5 ( x - 3 )$$

Whakaoti mō x

$$x = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

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

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

$$3x-6=5x-15$$

Tangohia te 5x mai i ngā taha e rua.

$$3x-6-5x=-15$$

Pahekotia te 3x me -5x, ka -2x.

$$-2x-6=-15$$

Me tāpiri te 6 ki ngā taha e rua.

$$-2x=-15+6$$

Tāpirihia te -15 ki te 6, ka -9.

$$-2x=-9$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{-9}{-2}$$

Ka taea te hautanga \frac{-9}{-2} te whakamāmā ki te \frac{9}{2} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{9}{2}$$