Whakaoti i te 5x-3/4+8=2x+3/3

$$\frac{ 5x-3 }{ 4 } +8= \frac{ 2x+3 }{ 3 }$$

Whakaoti mō x

$$x = -\frac{75}{7} = -10\frac{5}{7} \approx -10.714285714$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 12, arā, te tauraro pātahi he tino iti rawa te kitea o 4,3.

$$3\left(5x-3\right)+96=4\left(2x+3\right)$$

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

$$15x-9+96=4\left(2x+3\right)$$

Tāpirihia te -9 ki te 96, ka 87.

$$15x+87=4\left(2x+3\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 2x+3.

$$15x+87=8x+12$$

Tangohia te 8x mai i ngā taha e rua.

$$15x+87-8x=12$$

Pahekotia te 15x me -8x, ka 7x.

$$7x+87=12$$

Tangohia te 87 mai i ngā taha e rua.

$$7x=12-87$$

Tangohia te 87 i te 12, ka -75.

$$7x=-75$$

Whakawehea ngā taha e rua ki te 7.

$$x=\frac{-75}{7}$$

Ka taea te hautanga \frac{-75}{7} te tuhi anō ko -\frac{75}{7} mā te tango i te tohu tōraro.

$$x=-\frac{75}{7}$$