Whakaoti i te x+3/4=1+3x-10/5

$$\frac { x + 3 } { 4 } = 1 + \frac { 3 x - 10 } { 5 }$$

Whakaoti mō x

$$x=5$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 20, arā, te tauraro pātahi he tino iti rawa te kitea o 4,5.

$$5\left(x+3\right)=20+4\left(3x-10\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 5 ki te x+3.

$$5x+15=20+4\left(3x-10\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te 3x-10.

$$5x+15=20+12x-40$$

Tangohia te 40 i te 20, ka -20.

$$5x+15=-20+12x$$

Tangohia te 12x mai i ngā taha e rua.

$$5x+15-12x=-20$$

Pahekotia te 5x me -12x, ka -7x.

$$-7x+15=-20$$

Tangohia te 15 mai i ngā taha e rua.

$$-7x=-20-15$$

Tangohia te 15 i te -20, ka -35.

$$-7x=-35$$

Whakawehea ngā taha e rua ki te -7.

$$x=\frac{-35}{-7}$$

Whakawehea te -35 ki te -7, kia riro ko 5.

$$x=5$$