Whakaoti i te (2x-1)/0.01-2.5=0.220x/0.2-3.5

$$\frac { ( 2 x - 1 ) } { 0.01 } - 2.5 = \frac { 0.220 x } { 0.2 } - 3.5$$

Whakaoti mō x

$$x=\frac{110}{221}\approx 0.497737557$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea te 0.22x ki te 0.2, kia riro ko 1.1x.

$$\frac{2x-1}{0.01}-2.5=1.1x-3.5$$

Whakawehea ia wā o 2x-1 ki te 0.01, kia riro ko \frac{2x}{0.01}+\frac{-1}{0.01}.

$$\frac{2x}{0.01}+\frac{-1}{0.01}-2.5=1.1x-3.5$$

Whakawehea te 2x ki te 0.01, kia riro ko 200x.

$$200x+\frac{-1}{0.01}-2.5=1.1x-3.5$$

Whakarohaina te \frac{-1}{0.01} mā te whakarea i te taurunga me te tauraro ki te 100. Ka whakawehea he tau ki te tahi, hua ai ko ia anō.

$$200x-100-2.5=1.1x-3.5$$

Tangohia te 2.5 i te -100, ka -102.5.

$$200x-102.5=1.1x-3.5$$

Tangohia te 1.1x mai i ngā taha e rua.

$$200x-102.5-1.1x=-3.5$$

Pahekotia te 200x me -1.1x, ka 198.9x.

$$198.9x-102.5=-3.5$$

Me tāpiri te 102.5 ki ngā taha e rua.

$$198.9x=-3.5+102.5$$

Tāpirihia te -3.5 ki te 102.5, ka 99.

$$198.9x=99$$

Whakawehea ngā taha e rua ki te 198.9.

$$x=\frac{99}{198.9}$$

Whakarohaina te \frac{99}{198.9} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x=\frac{990}{1989}$$

Whakahekea te hautanga \frac{990}{1989} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$x=\frac{110}{221}$$