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

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

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.

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

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

$$x-5+4x+16=4\left(x+6\right)-\left(x-7\right)-2\left(x+6\right)$$

Pahekotia te x me 4x, ka 5x.

$$5x-5+16=4\left(x+6\right)-\left(x-7\right)-2\left(x+6\right)$$

Tāpirihia te -5 ki te 16, ka 11.

$$5x+11=4\left(x+6\right)-\left(x-7\right)-2\left(x+6\right)$$

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

$$5x+11=4x+24-\left(x-7\right)-2\left(x+6\right)$$

Hei kimi i te tauaro o x-7, kimihia te tauaro o ia taurangi.

$$5x+11=4x+24-x-\left(-7\right)-2\left(x+6\right)$$

Ko te tauaro o -7 ko 7.

$$5x+11=4x+24-x+7-2\left(x+6\right)$$

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

$$5x+11=3x+24+7-2\left(x+6\right)$$

Tāpirihia te 24 ki te 7, ka 31.

$$5x+11=3x+31-2\left(x+6\right)$$

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

$$5x+11=3x+31-2x-12$$

Pahekotia te 3x me -2x, ka x.

$$5x+11=x+31-12$$

Tangohia te 12 i te 31, ka 19.

$$5x+11=x+19$$

Tangohia te x mai i ngā taha e rua.

$$5x+11-x=19$$

Pahekotia te 5x me -x, ka 4x.

$$4x+11=19$$

Tangohia te 11 mai i ngā taha e rua.

$$4x=19-11$$

Tangohia te 11 i te 19, 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.

$$x=2$$