Whakaoti i te (3-7x)/10-(7-3x)/5=1-(x+1)/3

$$( 3 - 7 x ) / 10 - ( 7 - 3 x ) / 5 = 1 - ( x + 1 ) / 3$$

Whakaoti mō x

$$x = \frac{53}{7} = 7\frac{4}{7} \approx 7.571428571$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 30, arā, te tauraro pātahi he tino iti rawa te kitea o 10,5,3.

$$3\left(3-7x\right)-6\left(7-3x\right)=30-10\left(x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te 3-7x.

$$9-21x-6\left(7-3x\right)=30-10\left(x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -6 ki te 7-3x.

$$9-21x-42+18x=30-10\left(x+1\right)$$

Tangohia te 42 i te 9, ka -33.

$$-33-21x+18x=30-10\left(x+1\right)$$

Pahekotia te -21x me 18x, ka -3x.

$$-33-3x=30-10\left(x+1\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -10 ki te x+1.

$$-33-3x=30-10x-10$$

Tangohia te 10 i te 30, ka 20.

$$-33-3x=20-10x$$

Me tāpiri te 10x ki ngā taha e rua.

$$-33-3x+10x=20$$

Pahekotia te -3x me 10x, ka 7x.

$$-33+7x=20$$

Me tāpiri te 33 ki ngā taha e rua.

$$7x=20+33$$

Tāpirihia te 20 ki te 33, ka 53.

$$7x=53$$

Whakawehea ngā taha e rua ki te 7.

$$x=\frac{53}{7}$$