Whakaoti i te x+3x-9/5=4-5x-12/3

$$x + \frac { 3 x - 9 } { 5 } = 4 - \frac { 5 x - 12 } { 3 }$$

Whakaoti mō x

$$x=3$$

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.

$$15x+3\left(3x-9\right)=60-5\left(5x-12\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 3x-9.

$$15x+9x-27=60-5\left(5x-12\right)$$

Pahekotia te 15x me 9x, ka 24x.

$$24x-27=60-5\left(5x-12\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te 5x-12.

$$24x-27=60-25x+60$$

Tāpirihia te 60 ki te 60, ka 120.

$$24x-27=120-25x$$

Me tāpiri te 25x ki ngā taha e rua.

$$24x-27+25x=120$$

Pahekotia te 24x me 25x, ka 49x.

$$49x-27=120$$

Me tāpiri te 27 ki ngā taha e rua.

$$49x=120+27$$

Tāpirihia te 120 ki te 27, ka 147.

$$49x=147$$

Whakawehea ngā taha e rua ki te 49.

$$x=\frac{147}{49}$$

Whakawehea te 147 ki te 49, kia riro ko 3.

$$x=3$$