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

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

Whakaoti mō x

$$x = -\frac{53}{36} = -1\frac{17}{36} \approx -1.472222222$$

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 4,2,3.

$$3\left(2x-3\right)-12x-60=6\times 5x-16$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 2x-3.

$$6x-9-12x-60=6\times 5x-16$$

Pahekotia te 6x me -12x, ka -6x.

$$-6x-9-60=6\times 5x-16$$

Tangohia te 60 i te -9, ka -69.

$$-6x-69=6\times 5x-16$$

Whakareatia te 6 ki te 5, ka 30.

$$-6x-69=30x-16$$

Tangohia te 30x mai i ngā taha e rua.

$$-6x-69-30x=-16$$

Pahekotia te -6x me -30x, ka -36x.

$$-36x-69=-16$$

Me tāpiri te 69 ki ngā taha e rua.

$$-36x=-16+69$$

Tāpirihia te -16 ki te 69, ka 53.

$$-36x=53$$

Whakawehea ngā taha e rua ki te -36.

$$x=\frac{53}{-36}$$

Ka taea te hautanga \frac{53}{-36} te tuhi anō ko -\frac{53}{36} mā te tango i te tohu tōraro.

$$x=-\frac{53}{36}$$