Whakaoti i te x-6/3-x-4/2=x+5/3

$$\frac { x - 6 } { 3 } - \frac { x - 4 } { 2 } = \frac { x + 5 } { 3 }$$

Whakaoti mō x

$$x = -\frac{10}{3} = -3\frac{1}{3} \approx -3.333333333$$

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 3,2.

$$2\left(x-6\right)-3\left(x-4\right)=2\left(x+5\right)$$

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

$$2x-12-3\left(x-4\right)=2\left(x+5\right)$$

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

$$2x-12-3x+12=2\left(x+5\right)$$

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

$$-x-12+12=2\left(x+5\right)$$

Tāpirihia te -12 ki te 12, ka 0.

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

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te x+5.

$$-x=2x+10$$

Tangohia te 2x mai i ngā taha e rua.

$$-x-2x=10$$

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

$$-3x=10$$

Whakawehea ngā taha e rua ki te -3.

$$x=\frac{10}{-3}$$

Ka taea te hautanga \frac{10}{-3} te tuhi anō ko -\frac{10}{3} mā te tango i te tohu tōraro.

$$x=-\frac{10}{3}$$