Whakaoti i te 0.4*x+0.8/0.5=0.3x-0.4/0.4+1

$$\frac { 0.4 \times x + 0.8 } { 0.5 } = \frac { 0.3 x - 0.4 } { 0.4 } + 1$$

Whakaoti mō x

$$x=-32$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ia wā o 0.4x+0.8 ki te 0.5, kia riro ko \frac{0.4x}{0.5}+\frac{0.8}{0.5}.

$$\frac{0.4x}{0.5}+\frac{0.8}{0.5}=\frac{0.3x-0.4}{0.4}+1$$

Whakawehea te 0.4x ki te 0.5, kia riro ko 0.8x.

$$0.8x+\frac{0.8}{0.5}=\frac{0.3x-0.4}{0.4}+1$$

Whakarohaina te \frac{0.8}{0.5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$0.8x+\frac{8}{5}=\frac{0.3x-0.4}{0.4}+1$$

Whakawehea ia wā o 0.3x-0.4 ki te 0.4, kia riro ko \frac{0.3x}{0.4}+\frac{-0.4}{0.4}.

$$0.8x+\frac{8}{5}=\frac{0.3x}{0.4}+\frac{-0.4}{0.4}+1$$

Whakawehea te 0.3x ki te 0.4, kia riro ko 0.75x.

$$0.8x+\frac{8}{5}=0.75x+\frac{-0.4}{0.4}+1$$

Whakawehea te -0.4 ki te 0.4, kia riro ko -1.

$$0.8x+\frac{8}{5}=0.75x-1+1$$

Tāpirihia te -1 ki te 1, ka 0.

$$0.8x+\frac{8}{5}=0.75x$$

Tangohia te 0.75x mai i ngā taha e rua.

$$0.8x+\frac{8}{5}-0.75x=0$$

Pahekotia te 0.8x me -0.75x, ka 0.05x.

$$0.05x+\frac{8}{5}=0$$

Tangohia te \frac{8}{5} mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$0.05x=-\frac{8}{5}$$

Whakawehea ngā taha e rua ki te 0.05.

$$x=\frac{-\frac{8}{5}}{0.05}$$

Tuhia te \frac{-\frac{8}{5}}{0.05} hei hautanga kotahi.

$$x=\frac{-8}{5\times 0.05}$$

Whakareatia te 5 ki te 0.05, ka 0.25.

$$x=\frac{-8}{0.25}$$

Whakarohaina te \frac{-8}{0.25} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x=\frac{-800}{25}$$

Whakawehea te -800 ki te 25, kia riro ko -32.

$$x=-32$$