Whakaoti i te 5x-25left(7-4xright)=x-7left(4+xright)

$$5x-25 \left( 7-4x \right) = x-7 \left( 4+x \right)$$

Whakaoti mō x

$$x = \frac{49}{37} = 1\frac{12}{37} \approx 1.324324324$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te -25 ki te 7-4x.

$$5x-175+100x=x-7\left(4+x\right)$$

Pahekotia te 5x me 100x, ka 105x.

$$105x-175=x-7\left(4+x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -7 ki te 4+x.

$$105x-175=x-28-7x$$

Pahekotia te x me -7x, ka -6x.

$$105x-175=-6x-28$$

Me tāpiri te 6x ki ngā taha e rua.

$$105x-175+6x=-28$$

Pahekotia te 105x me 6x, ka 111x.

$$111x-175=-28$$

Me tāpiri te 175 ki ngā taha e rua.

$$111x=-28+175$$

Tāpirihia te -28 ki te 175, ka 147.

$$111x=147$$

Whakawehea ngā taha e rua ki te 111.

$$x=\frac{147}{111}$$

Whakahekea te hautanga \frac{147}{111} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$x=\frac{49}{37}$$