Whakaoti i te x-5/8+x-7/8=x+6/2-x+4/2-frac{x+6}{4}

$$\frac { x - 5 } { 8 } + \frac { x - 7 } { 8 } = \frac { x + 6 } { 2 } - \frac { x + 4 } { 2 } - \frac { x + 6 } { 4 }$$

Whakaoti mō x

$$x=2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 8, arā, te tauraro pātahi he tino iti rawa te kitea o 8,2,4.

$$x-5+x-7=4\left(x+6\right)-4\left(x+4\right)-2\left(x+6\right)$$

Pahekotia te x me x, ka 2x.

$$2x-5-7=4\left(x+6\right)-4\left(x+4\right)-2\left(x+6\right)$$

Tangohia te 7 i te -5, ka -12.

$$2x-12=4\left(x+6\right)-4\left(x+4\right)-2\left(x+6\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te x+6.

$$2x-12=4x+24-4\left(x+4\right)-2\left(x+6\right)$$

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

$$2x-12=4x+24-4x-16-2\left(x+6\right)$$

Pahekotia te 4x me -4x, ka 0.

$$2x-12=24-16-2\left(x+6\right)$$

Tangohia te 16 i te 24, ka 8.

$$2x-12=8-2\left(x+6\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -2 ki te x+6.

$$2x-12=8-2x-12$$

Tangohia te 12 i te 8, ka -4.

$$2x-12=-4-2x$$

Me tāpiri te 2x ki ngā taha e rua.

$$2x-12+2x=-4$$

Pahekotia te 2x me 2x, ka 4x.

$$4x-12=-4$$

Me tāpiri te 12 ki ngā taha e rua.

$$4x=-4+12$$

Tāpirihia te -4 ki te 12, ka 8.

$$4x=8$$

Whakawehea ngā taha e rua ki te 4.

$$x=\frac{8}{4}$$

Whakawehea te 8 ki te 4, kia riro ko 2.

$$x=2$$