Whakaoti i te x*(8+74)-(x-2)=x/5*9

$$x \cdot ( 8 + 74 ) - ( x - 2 ) = \frac { x } { 5 } \cdot 9$$

Whakaoti mō x

$$x=-\frac{5}{198}\approx -0.025252525$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$5x\left(8+74\right)-5\left(x-2\right)=x\times 9$$

Tāpirihia te 8 ki te 74, ka 82.

$$5x\times 82-5\left(x-2\right)=x\times 9$$

Whakareatia te 5 ki te 82, ka 410.

$$410x-5\left(x-2\right)=x\times 9$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te x-2.

$$410x-5x+10=x\times 9$$

Pahekotia te 410x me -5x, ka 405x.

$$405x+10=x\times 9$$

Tangohia te x\times 9 mai i ngā taha e rua.

$$405x+10-x\times 9=0$$

Pahekotia te 405x me -x\times 9, ka 396x.

$$396x+10=0$$

Tangohia te 10 mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$396x=-10$$

Whakawehea ngā taha e rua ki te 396.

$$x=\frac{-10}{396}$$

Whakahekea te hautanga \frac{-10}{396} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x=-\frac{5}{198}$$