Whakaoti i te x-3/5=x+1/3-2

$$\frac{ x-3 }{ 5 } = \frac{ x+1 }{ 3 } -2$$

Whakaoti mō x

$$x=8$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 15, arā, te tauraro pātahi he tino iti rawa te kitea o 5,3.

$$3\left(x-3\right)=5\left(x+1\right)-30$$

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

$$3x-9=5\left(x+1\right)-30$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te x+1.

$$3x-9=5x+5-30$$

Tangohia te 30 i te 5, ka -25.

$$3x-9=5x-25$$

Tangohia te 5x mai i ngā taha e rua.

$$3x-9-5x=-25$$

Pahekotia te 3x me -5x, ka -2x.

$$-2x-9=-25$$

Me tāpiri te 9 ki ngā taha e rua.

$$-2x=-25+9$$

Tāpirihia te -25 ki te 9, ka -16.

$$-2x=-16$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{-16}{-2}$$

Whakawehea te -16 ki te -2, kia riro ko 8.

$$x=8$$