Whakaoti i te 8x+2/6+2=2x-9/8

$$\frac { 8 x + 2 } { 6 } + 2 = \frac { 2 x - 9 } { 8 }$$

Whakaoti mō x

$$x = -\frac{83}{26} = -3\frac{5}{26} \approx -3.192307692$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 24, arā, te tauraro pātahi he tino iti rawa te kitea o 6,8.

$$4\left(8x+2\right)+48=3\left(2x-9\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 8x+2.

$$32x+8+48=3\left(2x-9\right)$$

Tāpirihia te 8 ki te 48, ka 56.

$$32x+56=3\left(2x-9\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 2x-9.

$$32x+56=6x-27$$

Tangohia te 6x mai i ngā taha e rua.

$$32x+56-6x=-27$$

Pahekotia te 32x me -6x, ka 26x.

$$26x+56=-27$$

Tangohia te 56 mai i ngā taha e rua.

$$26x=-27-56$$

Tangohia te 56 i te -27, ka -83.

$$26x=-83$$

Whakawehea ngā taha e rua ki te 26.

$$x=\frac{-83}{26}$$

Ka taea te hautanga \frac{-83}{26} te tuhi anō ko -\frac{83}{26} mā te tango i te tohu tōraro.

$$x=-\frac{83}{26}$$