Whakaoti i te 4x+1/6+1=x-4/8

$$\frac{ 4x+1 }{ 6 } +1 = \frac{ x-4 }{ 8 }$$

Whakaoti mō x

$$x = -\frac{40}{13} = -3\frac{1}{13} \approx -3.076923077$$

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.

$$4\left(4x+1\right)+24=3\left(x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 4x+1.

$$16x+4+24=3\left(x-4\right)$$

Tāpirihia te 4 ki te 24, ka 28.

$$16x+28=3\left(x-4\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x-4.

$$16x+28=3x-12$$

Tangohia te 3x mai i ngā taha e rua.

$$16x+28-3x=-12$$

Pahekotia te 16x me -3x, ka 13x.

$$13x+28=-12$$

Tangohia te 28 mai i ngā taha e rua.

$$13x=-12-28$$

Tangohia te 28 i te -12, ka -40.

$$13x=-40$$

Whakawehea ngā taha e rua ki te 13.

$$x=\frac{-40}{13}$$

Ka taea te hautanga \frac{-40}{13} te tuhi anō ko -\frac{40}{13} mā te tango i te tohu tōraro.

$$x=-\frac{40}{13}$$