Whakaoti i te 5x-16/6=-x+8/12+x+1/3

$$\frac { 5 x - 16 } { 6 } = - \frac { x + 8 } { 12 } + \frac { x + 1 } { 3 }$$

Whakaoti mō x

$$x=4$$

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 6,12,3.

$$2\left(5x-16\right)=-\left(x+8\right)+4\left(x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 5x-16.

$$10x-32=-\left(x+8\right)+4\left(x+1\right)$$

Hei kimi i te tauaro o x+8, kimihia te tauaro o ia taurangi.

$$10x-32=-x-8+4\left(x+1\right)$$

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

$$10x-32=-x-8+4x+4$$

Pahekotia te -x me 4x, ka 3x.

$$10x-32=3x-8+4$$

Tāpirihia te -8 ki te 4, ka -4.

$$10x-32=3x-4$$

Tangohia te 3x mai i ngā taha e rua.

$$10x-32-3x=-4$$

Pahekotia te 10x me -3x, ka 7x.

$$7x-32=-4$$

Me tāpiri te 32 ki ngā taha e rua.

$$7x=-4+32$$

Tāpirihia te -4 ki te 32, ka 28.

$$7x=28$$

Whakawehea ngā taha e rua ki te 7.

$$x=\frac{28}{7}$$

Whakawehea te 28 ki te 7, kia riro ko 4.

$$x=4$$