Whakaoti i te 5x+7/4-3x+5/8=4x+9/5-x-9/3

$$\frac{ 5x+7 }{ 4 } - \frac{ 3x+5 }{ 8 } = \frac{ 4x+9 }{ 5 } - \frac{ x-9 }{ 3 }$$

Whakaoti mō x

$$x=9$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 120, arā, te tauraro pātahi he tino iti rawa te kitea o 4,8,5,3.

$$30\left(5x+7\right)-15\left(3x+5\right)=24\left(4x+9\right)-40\left(x-9\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 30 ki te 5x+7.

$$150x+210-15\left(3x+5\right)=24\left(4x+9\right)-40\left(x-9\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -15 ki te 3x+5.

$$150x+210-45x-75=24\left(4x+9\right)-40\left(x-9\right)$$

Pahekotia te 150x me -45x, ka 105x.

$$105x+210-75=24\left(4x+9\right)-40\left(x-9\right)$$

Tangohia te 75 i te 210, ka 135.

$$105x+135=24\left(4x+9\right)-40\left(x-9\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 24 ki te 4x+9.

$$105x+135=96x+216-40\left(x-9\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -40 ki te x-9.

$$105x+135=96x+216-40x+360$$

Pahekotia te 96x me -40x, ka 56x.

$$105x+135=56x+216+360$$

Tāpirihia te 216 ki te 360, ka 576.

$$105x+135=56x+576$$

Tangohia te 56x mai i ngā taha e rua.

$$105x+135-56x=576$$

Pahekotia te 105x me -56x, ka 49x.

$$49x+135=576$$

Tangohia te 135 mai i ngā taha e rua.

$$49x=576-135$$

Tangohia te 135 i te 576, ka 441.

$$49x=441$$

Whakawehea ngā taha e rua ki te 49.

$$x=\frac{441}{49}$$

Whakawehea te 441 ki te 49, kia riro ko 9.

$$x=9$$