Whakaoti i te 4x+3/5-6x-2/7=5x+4/3+3

$$\frac { 4 x + 3 } { 5 } - \frac { 6 x - 2 } { 7 } = \frac { 5 x + 4 } { 3 } + 3$$

Whakaoti mō x

$$x=-2$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 105, arā, te tauraro pātahi he tino iti rawa te kitea o 5,7,3.

$$21\left(4x+3\right)-15\left(6x-2\right)=35\left(5x+4\right)+315$$

Whakamahia te āhuatanga tohatoha hei whakarea te 21 ki te 4x+3.

$$84x+63-15\left(6x-2\right)=35\left(5x+4\right)+315$$

Whakamahia te āhuatanga tohatoha hei whakarea te -15 ki te 6x-2.

$$84x+63-90x+30=35\left(5x+4\right)+315$$

Pahekotia te 84x me -90x, ka -6x.

$$-6x+63+30=35\left(5x+4\right)+315$$

Tāpirihia te 63 ki te 30, ka 93.

$$-6x+93=35\left(5x+4\right)+315$$

Whakamahia te āhuatanga tohatoha hei whakarea te 35 ki te 5x+4.

$$-6x+93=175x+140+315$$

Tāpirihia te 140 ki te 315, ka 455.

$$-6x+93=175x+455$$

Tangohia te 175x mai i ngā taha e rua.

$$-6x+93-175x=455$$

Pahekotia te -6x me -175x, ka -181x.

$$-181x+93=455$$

Tangohia te 93 mai i ngā taha e rua.

$$-181x=455-93$$

Tangohia te 93 i te 455, ka 362.

$$-181x=362$$

Whakawehea ngā taha e rua ki te -181.

$$x=\frac{362}{-181}$$

Whakawehea te 362 ki te -181, kia riro ko -2.

$$x=-2$$