Whakaoti i te 34(x-1)-12(2x-2)=7(05)+2(225+3x)

$$34(x-1)-12(2x-2)=7(05)+2(225+3x)$$

Whakaoti mō x

$$x=115$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 34 ki te x-1.

$$34x-34-12\left(2x-2\right)=7\times 0\times 5+2\left(225+3x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te -12 ki te 2x-2.

$$34x-34-24x+24=7\times 0\times 5+2\left(225+3x\right)$$

Pahekotia te 34x me -24x, ka 10x.

$$10x-34+24=7\times 0\times 5+2\left(225+3x\right)$$

Tāpirihia te -34 ki te 24, ka -10.

$$10x-10=7\times 0\times 5+2\left(225+3x\right)$$

Whakareatia te 7 ki te 0, ka 0.

$$10x-10=0\times 5+2\left(225+3x\right)$$

Whakareatia te 0 ki te 5, ka 0.

$$10x-10=0+2\left(225+3x\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 2 ki te 225+3x.

$$10x-10=0+450+6x$$

Tāpirihia te 0 ki te 450, ka 450.

$$10x-10=450+6x$$

Tangohia te 6x mai i ngā taha e rua.

$$10x-10-6x=450$$

Pahekotia te 10x me -6x, ka 4x.

$$4x-10=450$$

Me tāpiri te 10 ki ngā taha e rua.

$$4x=450+10$$

Tāpirihia te 450 ki te 10, ka 460.

$$4x=460$$

Whakawehea ngā taha e rua ki te 4.

$$x=\frac{460}{4}$$

Whakawehea te 460 ki te 4, kia riro ko 115.

$$x=115$$