Whakaoti i te 5*(x-3)+4*(x+5)=20(x-8)

$$5 \times (x-3)+4 \times (x+5)=20(x-8)$$

Whakaoti mō x

$$x=15$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te x-3.

$$5x-15+4\left(x+5\right)=20\left(x-8\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x+5.

$$5x-15+4x+20=20\left(x-8\right)$$

Pahekotia te 5x me 4x, ka 9x.

$$9x-15+20=20\left(x-8\right)$$

Tāpirihia te -15 ki te 20, ka 5.

$$9x+5=20\left(x-8\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 20 ki te x-8.

$$9x+5=20x-160$$

Tangohia te 20x mai i ngā taha e rua.

$$9x+5-20x=-160$$

Pahekotia te 9x me -20x, ka -11x.

$$-11x+5=-160$$

Tangohia te 5 mai i ngā taha e rua.

$$-11x=-160-5$$

Tangohia te 5 i te -160, ka -165.

$$-11x=-165$$

Whakawehea ngā taha e rua ki te -11.

$$x=\frac{-165}{-11}$$

Whakawehea te -165 ki te -11, kia riro ko 15.

$$x=15$$