Whakaoti i te x-4/2+x+3/6-x-6/3=1+x-7/2

$$\frac { x - 4 } { 2 } + \frac { x + 3 } { 6 } - \frac { x - 6 } { 3 } = 1 + \frac { x - 7 } { 2 }$$

Whakaoti mō x

$$x=18$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 6, arā, te tauraro pātahi he tino iti rawa te kitea o 2,6,3.

$$3\left(x-4\right)+x+3-2\left(x-6\right)=6+3\left(x-7\right)$$

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

$$3x-12+x+3-2\left(x-6\right)=6+3\left(x-7\right)$$

Pahekotia te 3x me x, ka 4x.

$$4x-12+3-2\left(x-6\right)=6+3\left(x-7\right)$$

Tāpirihia te -12 ki te 3, ka -9.

$$4x-9-2\left(x-6\right)=6+3\left(x-7\right)$$

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

$$4x-9-2x+12=6+3\left(x-7\right)$$

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

$$2x-9+12=6+3\left(x-7\right)$$

Tāpirihia te -9 ki te 12, ka 3.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te x-7.

$$2x+3=6+3x-21$$

Tangohia te 21 i te 6, ka -15.

$$2x+3=-15+3x$$

Tangohia te 3x mai i ngā taha e rua.

$$2x+3-3x=-15$$

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

$$-x+3=-15$$

Tangohia te 3 mai i ngā taha e rua.

$$-x=-15-3$$

Tangohia te 3 i te -15, ka -18.

$$-x=-18$$

Me whakarea ngā taha e rua ki te -1.

$$x=18$$