Whakaoti i te 3(2x-1)/4-5x-3/3=5/6

$$\frac { 3 ( 2 x - 1 ) } { 4 } - \frac { 5 x - 3 } { 3 } = \frac { 5 } { 6 }$$

Whakaoti mō x

$$x = -\frac{7}{2} = -3\frac{1}{2} = -3.5$$

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 4,3,6.

$$3\times 3\left(2x-1\right)-4\left(5x-3\right)=10$$

Whakareatia te 3 ki te 3, ka 9.

$$9\left(2x-1\right)-4\left(5x-3\right)=10$$

Whakamahia te āhuatanga tohatoha hei whakarea te 9 ki te 2x-1.

$$18x-9-4\left(5x-3\right)=10$$

Whakamahia te āhuatanga tohatoha hei whakarea te -4 ki te 5x-3.

$$18x-9-20x+12=10$$

Pahekotia te 18x me -20x, ka -2x.

$$-2x-9+12=10$$

Tāpirihia te -9 ki te 12, ka 3.

$$-2x+3=10$$

Tangohia te 3 mai i ngā taha e rua.

$$-2x=10-3$$

Tangohia te 3 i te 10, ka 7.

$$-2x=7$$

Whakawehea ngā taha e rua ki te -2.

$$x=\frac{7}{-2}$$

Ka taea te hautanga \frac{7}{-2} te tuhi anō ko -\frac{7}{2} mā te tango i te tohu tōraro.

$$x=-\frac{7}{2}$$