Whakaoti i te 7x+6/30-2x-9/12=2x+13/30-x+8/20+frac{2}{3}

$$\frac { 7 x + 6 } { 30 } - \frac { 2 x - 9 } { 12 } = \frac { 2 x + 13 } { 30 } - \frac { x + 8 } { 20 } + \frac { 2 } { 3 }$$

Whakaoti mō x

$$x=-5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 60, arā, te tauraro pātahi he tino iti rawa te kitea o 30,12,20,3.

$$2\left(7x+6\right)-5\left(2x-9\right)=2\left(2x+13\right)-3\left(x+8\right)+40$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 7x+6.

$$14x+12-5\left(2x-9\right)=2\left(2x+13\right)-3\left(x+8\right)+40$$

Whakamahia te āhuatanga tohatoha hei whakarea te -5 ki te 2x-9.

$$14x+12-10x+45=2\left(2x+13\right)-3\left(x+8\right)+40$$

Pahekotia te 14x me -10x, ka 4x.

$$4x+12+45=2\left(2x+13\right)-3\left(x+8\right)+40$$

Tāpirihia te 12 ki te 45, ka 57.

$$4x+57=2\left(2x+13\right)-3\left(x+8\right)+40$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 2x+13.

$$4x+57=4x+26-3\left(x+8\right)+40$$

Whakamahia te āhuatanga tohatoha hei whakarea te -3 ki te x+8.

$$4x+57=4x+26-3x-24+40$$

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

$$4x+57=x+26-24+40$$

Tangohia te 24 i te 26, ka 2.

$$4x+57=x+2+40$$

Tāpirihia te 2 ki te 40, ka 42.

$$4x+57=x+42$$

Tangohia te x mai i ngā taha e rua.

$$4x+57-x=42$$

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

$$3x+57=42$$

Tangohia te 57 mai i ngā taha e rua.

$$3x=42-57$$

Tangohia te 57 i te 42, ka -15.

$$3x=-15$$

Whakawehea ngā taha e rua ki te 3.

$$x=\frac{-15}{3}$$

Whakawehea te -15 ki te 3, kia riro ko -5.

$$x=-5$$