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

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

Whakaoti mō x

$$x = \frac{45}{2} = 22\frac{1}{2} = 22.5$$

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 2,6,3,4.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 6 ki te x+3.

$$6x+18+2=4\left(2x-4\right)-9$$

Tāpirihia te 18 ki te 2, ka 20.

$$6x+20=4\left(2x-4\right)-9$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 2x-4.

$$6x+20=8x-16-9$$

Tangohia te 9 i te -16, ka -25.

$$6x+20=8x-25$$

Tangohia te 8x mai i ngā taha e rua.

$$6x+20-8x=-25$$

Pahekotia te 6x me -8x, ka -2x.

$$-2x+20=-25$$

Tangohia te 20 mai i ngā taha e rua.

$$-2x=-25-20$$

Tangohia te 20 i te -25, ka -45.

$$-2x=-45$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{-45}{-2}$$

Ka taea te hautanga \frac{-45}{-2} te whakamāmā ki te \frac{45}{2} mā te tango tahi i te tohu tōraro i te taurunga me te tauraro.

$$x=\frac{45}{2}$$