Whakaoti i te 2left(3x-8right)/-5=-4left(x-1right)/0.5

$$\frac{ 2 \left( 3x-8 \right) }{ -5 } = \frac{ -4 \left( x-1 \right) }{ 0.5 }$$

Whakaoti mō x

$$x=\frac{12}{17}\approx 0.705882353$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te -5.

$$2\left(3x-8\right)=-5\times \frac{-4\left(x-1\right)}{0.5}$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 3x-8.

$$6x-16=-5\times \frac{-4\left(x-1\right)}{0.5}$$

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

$$6x-16=-5\times \frac{-4x+4}{0.5}$$

Whakawehea ia wā o -4x+4 ki te 0.5, kia riro ko \frac{-4x}{0.5}+\frac{4}{0.5}.

$$6x-16=-5\left(\frac{-4x}{0.5}+\frac{4}{0.5}\right)$$

Whakawehea te -4x ki te 0.5, kia riro ko -8x.

$$6x-16=-5\left(-8x+\frac{4}{0.5}\right)$$

Whakarohaina te \frac{4}{0.5} mā te whakarea i te taurunga me te tauraro ki te 10.

$$6x-16=-5\left(-8x+\frac{40}{5}\right)$$

Whakawehea te 40 ki te 5, kia riro ko 8.

$$6x-16=-5\left(-8x+8\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te -8x+8.

$$6x-16=40x-40$$

Tangohia te 40x mai i ngā taha e rua.

$$6x-16-40x=-40$$

Pahekotia te 6x me -40x, ka -34x.

$$-34x-16=-40$$

Me tāpiri te 16 ki ngā taha e rua.

$$-34x=-40+16$$

Tāpirihia te -40 ki te 16, ka -24.

$$-34x=-24$$

Whakawehea ngā taha e rua ki te -34.

$$x=\frac{-24}{-34}$$

Whakahekea te hautanga \frac{-24}{-34} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te -2.

$$x=\frac{12}{17}$$